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Finding the Fourth Proportional to 732.20, 1,010.87 and 566.09

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Solution

The fourth proportional to 732.20, 1,010.87 and 566.09 is: 781.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.20 : 1,010.87 = 566.09 : x
  2. Step 2: Convert to fraction form
    732.20/1,010.87 = 566.09/x
  3. Step 3: Cross multiply
    732.20x = 1,010.87 × 566.09
  4. Step 4: Simplify right side
    732.20x = 572,243.40
  5. Step 5: Solve for x
    x = 572,243.40/732.20
  6. Step 6: Final answer
    x = 781.54

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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.