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Finding the Fourth Proportional to 502.98, 754.62 and 448.52

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Solution

The fourth proportional to 502.98, 754.62 and 448.52 is: 672.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.98 : 754.62 = 448.52 : x
  2. Step 2: Convert to fraction form
    502.98/754.62 = 448.52/x
  3. Step 3: Cross multiply
    502.98x = 754.62 × 448.52
  4. Step 4: Simplify right side
    502.98x = 338,462.16
  5. Step 5: Solve for x
    x = 338,462.16/502.98
  6. Step 6: Final answer
    x = 672.91

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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.