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Finding the Fourth Proportional to 814.62, 1,124.17 and 441.61

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Solution

The fourth proportional to 814.62, 1,124.17 and 441.61 is: 609.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.62 : 1,124.17 = 441.61 : x
  2. Step 2: Convert to fraction form
    814.62/1,124.17 = 441.61/x
  3. Step 3: Cross multiply
    814.62x = 1,124.17 × 441.61
  4. Step 4: Simplify right side
    814.62x = 496,445.39
  5. Step 5: Solve for x
    x = 496,445.39/814.62
  6. Step 6: Final answer
    x = 609.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.