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Finding the Fourth Proportional to 974.57, 1,460.09 and 872.24

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Solution

The fourth proportional to 974.57, 1,460.09 and 872.24 is: 1,306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.57 : 1,460.09 = 872.24 : x
  2. Step 2: Convert to fraction form
    974.57/1,460.09 = 872.24/x
  3. Step 3: Cross multiply
    974.57x = 1,460.09 × 872.24
  4. Step 4: Simplify right side
    974.57x = 1,273,543.78
  5. Step 5: Solve for x
    x = 1,273,543.78/974.57
  6. Step 6: Final answer
    x = 1,306.78

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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.