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Finding the Fourth Proportional to 974.26, 1,461.44 and 280.85

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Solution

The fourth proportional to 974.26, 1,461.44 and 280.85 is: 421.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.26 : 1,461.44 = 280.85 : x
  2. Step 2: Convert to fraction form
    974.26/1,461.44 = 280.85/x
  3. Step 3: Cross multiply
    974.26x = 1,461.44 × 280.85
  4. Step 4: Simplify right side
    974.26x = 410,445.42
  5. Step 5: Solve for x
    x = 410,445.42/974.26
  6. Step 6: Final answer
    x = 421.29

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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.