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Finding the Fourth Proportional to 974.98, 1,462.68 and 281.64

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Solution

The fourth proportional to 974.98, 1,462.68 and 281.64 is: 422.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.98 : 1,462.68 = 281.64 : x
  2. Step 2: Convert to fraction form
    974.98/1,462.68 = 281.64/x
  3. Step 3: Cross multiply
    974.98x = 1,462.68 × 281.64
  4. Step 4: Simplify right side
    974.98x = 411,949.20
  5. Step 5: Solve for x
    x = 411,949.20/974.98
  6. Step 6: Final answer
    x = 422.52

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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.