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Finding the Fourth Proportional to 981.69, 1,472.88 and 494.61

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Solution

The fourth proportional to 981.69, 1,472.88 and 494.61 is: 742.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.69 : 1,472.88 = 494.61 : x
  2. Step 2: Convert to fraction form
    981.69/1,472.88 = 494.61/x
  3. Step 3: Cross multiply
    981.69x = 1,472.88 × 494.61
  4. Step 4: Simplify right side
    981.69x = 728,501.18
  5. Step 5: Solve for x
    x = 728,501.18/981.69
  6. Step 6: Final answer
    x = 742.09

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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.