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Finding the Fourth Proportional to 731.86, 1,098.53 and 571.30

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Solution

The fourth proportional to 731.86, 1,098.53 and 571.30 is: 857.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.86 : 1,098.53 = 571.30 : x
  2. Step 2: Convert to fraction form
    731.86/1,098.53 = 571.30/x
  3. Step 3: Cross multiply
    731.86x = 1,098.53 × 571.30
  4. Step 4: Simplify right side
    731.86x = 627,590.19
  5. Step 5: Solve for x
    x = 627,590.19/731.86
  6. Step 6: Final answer
    x = 857.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.