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Finding the Fourth Proportional to 892.20, 1,337.70 and 475.80

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Solution

The fourth proportional to 892.20, 1,337.70 and 475.80 is: 713.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.20 : 1,337.70 = 475.80 : x
  2. Step 2: Convert to fraction form
    892.20/1,337.70 = 475.80/x
  3. Step 3: Cross multiply
    892.20x = 1,337.70 × 475.80
  4. Step 4: Simplify right side
    892.20x = 636,477.66
  5. Step 5: Solve for x
    x = 636,477.66/892.20
  6. Step 6: Final answer
    x = 713.38

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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.