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Finding the Fourth Proportional to 502.39, 690.82 and 449.61

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Solution

The fourth proportional to 502.39, 690.82 and 449.61 is: 618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.39 : 690.82 = 449.61 : x
  2. Step 2: Convert to fraction form
    502.39/690.82 = 449.61/x
  3. Step 3: Cross multiply
    502.39x = 690.82 × 449.61
  4. Step 4: Simplify right side
    502.39x = 310,599.58
  5. Step 5: Solve for x
    x = 310,599.58/502.39
  6. Step 6: Final answer
    x = 618.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.