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Finding the Fourth Proportional to 721.68, 994.72 and 500.28

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Solution

The fourth proportional to 721.68, 994.72 and 500.28 is: 689.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.68 : 994.72 = 500.28 : x
  2. Step 2: Convert to fraction form
    721.68/994.72 = 500.28/x
  3. Step 3: Cross multiply
    721.68x = 994.72 × 500.28
  4. Step 4: Simplify right side
    721.68x = 497,638.52
  5. Step 5: Solve for x
    x = 497,638.52/721.68
  6. Step 6: Final answer
    x = 689.56

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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.