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Finding the Fourth Proportional to 502.07, 749.30 and 489.11

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Solution

The fourth proportional to 502.07, 749.30 and 489.11 is: 729.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.07 : 749.30 = 489.11 : x
  2. Step 2: Convert to fraction form
    502.07/749.30 = 489.11/x
  3. Step 3: Cross multiply
    502.07x = 749.30 × 489.11
  4. Step 4: Simplify right side
    502.07x = 366,490.12
  5. Step 5: Solve for x
    x = 366,490.12/502.07
  6. Step 6: Final answer
    x = 729.96

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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.