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Finding the Fourth Proportional to 1,251.24, 1,874.42 and 602.43

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Solution

The fourth proportional to 1,251.24, 1,874.42 and 602.43 is: 902.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.24 : 1,874.42 = 602.43 : x
  2. Step 2: Convert to fraction form
    1,251.24/1,874.42 = 602.43/x
  3. Step 3: Cross multiply
    1,251.24x = 1,874.42 × 602.43
  4. Step 4: Simplify right side
    1,251.24x = 1,129,206.84
  5. Step 5: Solve for x
    x = 1,129,206.84/1,251.24
  6. Step 6: Final answer
    x = 902.47

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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.