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Finding the Fourth Proportional to 1,090.77, 1,504.82 and 665.17

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Solution

The fourth proportional to 1,090.77, 1,504.82 and 665.17 is: 917.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.77 : 1,504.82 = 665.17 : x
  2. Step 2: Convert to fraction form
    1,090.77/1,504.82 = 665.17/x
  3. Step 3: Cross multiply
    1,090.77x = 1,504.82 × 665.17
  4. Step 4: Simplify right side
    1,090.77x = 1,000,964.92
  5. Step 5: Solve for x
    x = 1,000,964.92/1,090.77
  6. Step 6: Final answer
    x = 917.67

Related Problems

Find fourth proportional to 545.38, 752.41 and 332.59
Half scale
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Double scale
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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.