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Finding the Fourth Proportional to 502.34, 749.92 and 447.66

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Solution

The fourth proportional to 502.34, 749.92 and 447.66 is: 668.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.34 : 749.92 = 447.66 : x
  2. Step 2: Convert to fraction form
    502.34/749.92 = 447.66/x
  3. Step 3: Cross multiply
    502.34x = 749.92 × 447.66
  4. Step 4: Simplify right side
    502.34x = 335,709.19
  5. Step 5: Solve for x
    x = 335,709.19/502.34
  6. Step 6: Final answer
    x = 668.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.