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Finding the Fourth Proportional to 814.04, 1,123.38 and 441.02

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Solution

The fourth proportional to 814.04, 1,123.38 and 441.02 is: 608.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.04 : 1,123.38 = 441.02 : x
  2. Step 2: Convert to fraction form
    814.04/1,123.38 = 441.02/x
  3. Step 3: Cross multiply
    814.04x = 1,123.38 × 441.02
  4. Step 4: Simplify right side
    814.04x = 495,434.20
  5. Step 5: Solve for x
    x = 495,434.20/814.04
  6. Step 6: Final answer
    x = 608.61

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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.