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Finding the Fourth Proportional to 1,251.36, 1,874.61 and 602.55

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Solution

The fourth proportional to 1,251.36, 1,874.61 and 602.55 is: 902.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.36 : 1,874.61 = 602.55 : x
  2. Step 2: Convert to fraction form
    1,251.36/1,874.61 = 602.55/x
  3. Step 3: Cross multiply
    1,251.36x = 1,874.61 × 602.55
  4. Step 4: Simplify right side
    1,251.36x = 1,129,546.26
  5. Step 5: Solve for x
    x = 1,129,546.26/1,251.36
  6. Step 6: Final answer
    x = 902.65

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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.