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Finding the Fourth Proportional to 714.88, 1,073.22 and 484.78

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Solution

The fourth proportional to 714.88, 1,073.22 and 484.78 is: 727.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.88 : 1,073.22 = 484.78 : x
  2. Step 2: Convert to fraction form
    714.88/1,073.22 = 484.78/x
  3. Step 3: Cross multiply
    714.88x = 1,073.22 × 484.78
  4. Step 4: Simplify right side
    714.88x = 520,275.59
  5. Step 5: Solve for x
    x = 520,275.59/714.88
  6. Step 6: Final answer
    x = 727.78

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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.