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Finding the Fourth Proportional to 502.97, 753.98 and 451.94

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Solution

The fourth proportional to 502.97, 753.98 and 451.94 is: 677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.97 : 753.98 = 451.94 : x
  2. Step 2: Convert to fraction form
    502.97/753.98 = 451.94/x
  3. Step 3: Cross multiply
    502.97x = 753.98 × 451.94
  4. Step 4: Simplify right side
    502.97x = 340,747.69
  5. Step 5: Solve for x
    x = 340,747.69/502.97
  6. Step 6: Final answer
    x = 677.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.