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Finding the Fourth Proportional to 721.49, 994.27 and 500.03

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Solution

The fourth proportional to 721.49, 994.27 and 500.03 is: 689.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.49 : 994.27 = 500.03 : x
  2. Step 2: Convert to fraction form
    721.49/994.27 = 500.03/x
  3. Step 3: Cross multiply
    721.49x = 994.27 × 500.03
  4. Step 4: Simplify right side
    721.49x = 497,164.83
  5. Step 5: Solve for x
    x = 497,164.83/721.49
  6. Step 6: Final answer
    x = 689.08

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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.