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Finding the Fourth Proportional to 714.97, 987.29 and 519.49

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Solution

The fourth proportional to 714.97, 987.29 and 519.49 is: 717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.97 : 987.29 = 519.49 : x
  2. Step 2: Convert to fraction form
    714.97/987.29 = 519.49/x
  3. Step 3: Cross multiply
    714.97x = 987.29 × 519.49
  4. Step 4: Simplify right side
    714.97x = 512,887.28
  5. Step 5: Solve for x
    x = 512,887.28/714.97
  6. Step 6: Final answer
    x = 717.35

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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.