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Finding the Fourth Proportional to 1,186.76, 1,635.72 and 813.08

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Solution

The fourth proportional to 1,186.76, 1,635.72 and 813.08 is: 1,120.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.76 : 1,635.72 = 813.08 : x
  2. Step 2: Convert to fraction form
    1,186.76/1,635.72 = 813.08/x
  3. Step 3: Cross multiply
    1,186.76x = 1,635.72 × 813.08
  4. Step 4: Simplify right side
    1,186.76x = 1,329,971.22
  5. Step 5: Solve for x
    x = 1,329,971.22/1,186.76
  6. Step 6: Final answer
    x = 1,120.67

Related Problems

Find fourth proportional to 593.38, 817.86 and 406.54
Half scale
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Double scale
Find fourth proportional to 1,187.76, 1,637.10 and 814.08
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.