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Finding the Fourth Proportional to 981.65, 1,471.86 and 461.32

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Solution

The fourth proportional to 981.65, 1,471.86 and 461.32 is: 691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.65 : 1,471.86 = 461.32 : x
  2. Step 2: Convert to fraction form
    981.65/1,471.86 = 461.32/x
  3. Step 3: Cross multiply
    981.65x = 1,471.86 × 461.32
  4. Step 4: Simplify right side
    981.65x = 679,000.30
  5. Step 5: Solve for x
    x = 679,000.30/981.65
  6. Step 6: Final answer
    x = 691.70

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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.