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Finding the Fourth Proportional to 981.58, 1,469.17 and 721.51

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Solution

The fourth proportional to 981.58, 1,469.17 and 721.51 is: 1,079.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.58 : 1,469.17 = 721.51 : x
  2. Step 2: Convert to fraction form
    981.58/1,469.17 = 721.51/x
  3. Step 3: Cross multiply
    981.58x = 1,469.17 × 721.51
  4. Step 4: Simplify right side
    981.58x = 1,060,020.91
  5. Step 5: Solve for x
    x = 1,060,020.91/981.58
  6. Step 6: Final answer
    x = 1,079.91

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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.