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Finding the Fourth Proportional to 981.28, 1,472.36 and 615.96

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Solution

The fourth proportional to 981.28, 1,472.36 and 615.96 is: 924.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.28 : 1,472.36 = 615.96 : x
  2. Step 2: Convert to fraction form
    981.28/1,472.36 = 615.96/x
  3. Step 3: Cross multiply
    981.28x = 1,472.36 × 615.96
  4. Step 4: Simplify right side
    981.28x = 906,914.87
  5. Step 5: Solve for x
    x = 906,914.87/981.28
  6. Step 6: Final answer
    x = 924.22

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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.