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Finding the Fourth Proportional to 723.31, 997.50 and 474.54

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Solution

The fourth proportional to 723.31, 997.50 and 474.54 is: 654.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.31 : 997.50 = 474.54 : x
  2. Step 2: Convert to fraction form
    723.31/997.50 = 474.54/x
  3. Step 3: Cross multiply
    723.31x = 997.50 × 474.54
  4. Step 4: Simplify right side
    723.31x = 473,353.65
  5. Step 5: Solve for x
    x = 473,353.65/723.31
  6. Step 6: Final answer
    x = 654.43

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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.