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Finding the Fourth Proportional to 497.92, 742.80 and 451.48

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Solution

The fourth proportional to 497.92, 742.80 and 451.48 is: 673.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.92 : 742.80 = 451.48 : x
  2. Step 2: Convert to fraction form
    497.92/742.80 = 451.48/x
  3. Step 3: Cross multiply
    497.92x = 742.80 × 451.48
  4. Step 4: Simplify right side
    497.92x = 335,359.34
  5. Step 5: Solve for x
    x = 335,359.34/497.92
  6. Step 6: Final answer
    x = 673.52

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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.