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Finding the Fourth Proportional to 974.69, 1,462.26 and 281.37

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Solution

The fourth proportional to 974.69, 1,462.26 and 281.37 is: 422.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.69 : 1,462.26 = 281.37 : x
  2. Step 2: Convert to fraction form
    974.69/1,462.26 = 281.37/x
  3. Step 3: Cross multiply
    974.69x = 1,462.26 × 281.37
  4. Step 4: Simplify right side
    974.69x = 411,436.10
  5. Step 5: Solve for x
    x = 411,436.10/974.69
  6. Step 6: Final answer
    x = 422.12

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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.