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Finding the Fourth Proportional to 724.29, 999.75 and 475.81

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Solution

The fourth proportional to 724.29, 999.75 and 475.81 is: 656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.29 : 999.75 = 475.81 : x
  2. Step 2: Convert to fraction form
    724.29/999.75 = 475.81/x
  3. Step 3: Cross multiply
    724.29x = 999.75 × 475.81
  4. Step 4: Simplify right side
    724.29x = 475,691.05
  5. Step 5: Solve for x
    x = 475,691.05/724.29
  6. Step 6: Final answer
    x = 656.77

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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.