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Finding the Fourth Proportional to 1,251.32, 1,876.50 and 557.30

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Solution

The fourth proportional to 1,251.32, 1,876.50 and 557.30 is: 835.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.32 : 1,876.50 = 557.30 : x
  2. Step 2: Convert to fraction form
    1,251.32/1,876.50 = 557.30/x
  3. Step 3: Cross multiply
    1,251.32x = 1,876.50 × 557.30
  4. Step 4: Simplify right side
    1,251.32x = 1,045,778.14
  5. Step 5: Solve for x
    x = 1,045,778.14/1,251.32
  6. Step 6: Final answer
    x = 835.74

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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.