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Finding the Fourth Proportional to 1,130.77, 1,560.77 and 688.67

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Solution

The fourth proportional to 1,130.77, 1,560.77 and 688.67 is: 950.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.77 : 1,560.77 = 688.67 : x
  2. Step 2: Convert to fraction form
    1,130.77/1,560.77 = 688.67/x
  3. Step 3: Cross multiply
    1,130.77x = 1,560.77 × 688.67
  4. Step 4: Simplify right side
    1,130.77x = 1,074,846.81
  5. Step 5: Solve for x
    x = 1,074,846.81/1,130.77
  6. Step 6: Final answer
    x = 950.55

Related Problems

Find fourth proportional to 565.38, 780.38 and 344.33
Half scale
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Double scale
Find fourth proportional to 1,131.77, 1,562.15 and 689.67
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.