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Finding the Fourth Proportional to 974.08, 1,343.84 and 581.12

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Solution

The fourth proportional to 974.08, 1,343.84 and 581.12 is: 801.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.08 : 1,343.84 = 581.12 : x
  2. Step 2: Convert to fraction form
    974.08/1,343.84 = 581.12/x
  3. Step 3: Cross multiply
    974.08x = 1,343.84 × 581.12
  4. Step 4: Simplify right side
    974.08x = 780,932.30
  5. Step 5: Solve for x
    x = 780,932.30/974.08
  6. Step 6: Final answer
    x = 801.71

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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.