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Finding the Fourth Proportional to 1,255.06, 1,882.30 and 475.15

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Solution

The fourth proportional to 1,255.06, 1,882.30 and 475.15 is: 712.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.06 : 1,882.30 = 475.15 : x
  2. Step 2: Convert to fraction form
    1,255.06/1,882.30 = 475.15/x
  3. Step 3: Cross multiply
    1,255.06x = 1,882.30 × 475.15
  4. Step 4: Simplify right side
    1,255.06x = 894,363.06
  5. Step 5: Solve for x
    x = 894,363.06/1,255.06
  6. Step 6: Final answer
    x = 712.61

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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.