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Finding the Fourth Proportional to 531.69, 731.46 and 519.40

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Solution

The fourth proportional to 531.69, 731.46 and 519.40 is: 714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.69 : 731.46 = 519.40 : x
  2. Step 2: Convert to fraction form
    531.69/731.46 = 519.40/x
  3. Step 3: Cross multiply
    531.69x = 731.46 × 519.40
  4. Step 4: Simplify right side
    531.69x = 379,920.32
  5. Step 5: Solve for x
    x = 379,920.32/531.69
  6. Step 6: Final answer
    x = 714.55

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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.