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Finding the Fourth Proportional to 974.01, 1,343.10 and 724.92

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Solution

The fourth proportional to 974.01, 1,343.10 and 724.92 is: 999.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.01 : 1,343.10 = 724.92 : x
  2. Step 2: Convert to fraction form
    974.01/1,343.10 = 724.92/x
  3. Step 3: Cross multiply
    974.01x = 1,343.10 × 724.92
  4. Step 4: Simplify right side
    974.01x = 973,640.05
  5. Step 5: Solve for x
    x = 973,640.05/974.01
  6. Step 6: Final answer
    x = 999.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.