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Finding the Fourth Proportional to 724.85, 1,001.03 and 476.35

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Solution

The fourth proportional to 724.85, 1,001.03 and 476.35 is: 657.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.85 : 1,001.03 = 476.35 : x
  2. Step 2: Convert to fraction form
    724.85/1,001.03 = 476.35/x
  3. Step 3: Cross multiply
    724.85x = 1,001.03 × 476.35
  4. Step 4: Simplify right side
    724.85x = 476,835.76
  5. Step 5: Solve for x
    x = 476,835.76/724.85
  6. Step 6: Final answer
    x = 657.84

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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.