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Finding the Fourth Proportional to 529.87, 731.42 and 398.65

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Solution

The fourth proportional to 529.87, 731.42 and 398.65 is: 550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.87 : 731.42 = 398.65 : x
  2. Step 2: Convert to fraction form
    529.87/731.42 = 398.65/x
  3. Step 3: Cross multiply
    529.87x = 731.42 × 398.65
  4. Step 4: Simplify right side
    529.87x = 291,578.59
  5. Step 5: Solve for x
    x = 291,578.59/529.87
  6. Step 6: Final answer
    x = 550.28

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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.