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Finding the Fourth Proportional to 502.25, 749.20 and 450.31

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Solution

The fourth proportional to 502.25, 749.20 and 450.31 is: 671.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.25 : 749.20 = 450.31 : x
  2. Step 2: Convert to fraction form
    502.25/749.20 = 450.31/x
  3. Step 3: Cross multiply
    502.25x = 749.20 × 450.31
  4. Step 4: Simplify right side
    502.25x = 337,371.50
  5. Step 5: Solve for x
    x = 337,371.50/502.25
  6. Step 6: Final answer
    x = 671.72

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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.