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Finding the Fourth Proportional to 974.27, 1,343.85 and 581

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Solution

The fourth proportional to 974.27, 1,343.85 and 581 is: 801.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.27 : 1,343.85 = 581 : x
  2. Step 2: Convert to fraction form
    974.27/1,343.85 = 581/x
  3. Step 3: Cross multiply
    974.27x = 1,343.85 × 581
  4. Step 4: Simplify right side
    974.27x = 780,776.85
  5. Step 5: Solve for x
    x = 780,776.85/974.27
  6. Step 6: Final answer
    x = 801.40

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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.