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Finding the Fourth Proportional to 1,012.13, 1,518.20 and 281.71

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Solution

The fourth proportional to 1,012.13, 1,518.20 and 281.71 is: 422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.13 : 1,518.20 = 281.71 : x
  2. Step 2: Convert to fraction form
    1,012.13/1,518.20 = 281.71/x
  3. Step 3: Cross multiply
    1,012.13x = 1,518.20 × 281.71
  4. Step 4: Simplify right side
    1,012.13x = 427,692.12
  5. Step 5: Solve for x
    x = 427,692.12/1,012.13
  6. Step 6: Final answer
    x = 422.57

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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.