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Finding the Fourth Proportional to 1,011.96, 1,517.94 and 281.57

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Solution

The fourth proportional to 1,011.96, 1,517.94 and 281.57 is: 422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.96 : 1,517.94 = 281.57 : x
  2. Step 2: Convert to fraction form
    1,011.96/1,517.94 = 281.57/x
  3. Step 3: Cross multiply
    1,011.96x = 1,517.94 × 281.57
  4. Step 4: Simplify right side
    1,011.96x = 427,398.78
  5. Step 5: Solve for x
    x = 427,398.78/1,011.96
  6. Step 6: Final answer
    x = 422.35

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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.