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Finding the Fourth Proportional to 981.61, 1,472.76 and 653.87

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Solution

The fourth proportional to 981.61, 1,472.76 and 653.87 is: 981.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.61 : 1,472.76 = 653.87 : x
  2. Step 2: Convert to fraction form
    981.61/1,472.76 = 653.87/x
  3. Step 3: Cross multiply
    981.61x = 1,472.76 × 653.87
  4. Step 4: Simplify right side
    981.61x = 962,997.26
  5. Step 5: Solve for x
    x = 962,997.26/981.61
  6. Step 6: Final answer
    x = 981.04

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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.