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Finding the Fourth Proportional to 502.67, 750.29 and 490.39

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Solution

The fourth proportional to 502.67, 750.29 and 490.39 is: 731.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.67 : 750.29 = 490.39 : x
  2. Step 2: Convert to fraction form
    502.67/750.29 = 490.39/x
  3. Step 3: Cross multiply
    502.67x = 750.29 × 490.39
  4. Step 4: Simplify right side
    502.67x = 367,930.39
  5. Step 5: Solve for x
    x = 367,930.39/502.67
  6. Step 6: Final answer
    x = 731.95

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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.