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Finding the Fourth Proportional to 981.12, 1,472.49 and 707.34

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Solution

The fourth proportional to 981.12, 1,472.49 and 707.34 is: 1,061.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.12 : 1,472.49 = 707.34 : x
  2. Step 2: Convert to fraction form
    981.12/1,472.49 = 707.34/x
  3. Step 3: Cross multiply
    981.12x = 1,472.49 × 707.34
  4. Step 4: Simplify right side
    981.12x = 1,041,551.08
  5. Step 5: Solve for x
    x = 1,041,551.08/981.12
  6. Step 6: Final answer
    x = 1,061.59

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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.