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Finding the Fourth Proportional to 531.90, 729 and 515.43

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Solution

The fourth proportional to 531.90, 729 and 515.43 is: 706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.90 : 729 = 515.43 : x
  2. Step 2: Convert to fraction form
    531.90/729 = 515.43/x
  3. Step 3: Cross multiply
    531.90x = 729 × 515.43
  4. Step 4: Simplify right side
    531.90x = 375,748.47
  5. Step 5: Solve for x
    x = 375,748.47/531.90
  6. Step 6: Final answer
    x = 706.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.