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Finding the Fourth Proportional to 814.26, 1,123.68 and 581.78

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Solution

The fourth proportional to 814.26, 1,123.68 and 581.78 is: 802.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.26 : 1,123.68 = 581.78 : x
  2. Step 2: Convert to fraction form
    814.26/1,123.68 = 581.78/x
  3. Step 3: Cross multiply
    814.26x = 1,123.68 × 581.78
  4. Step 4: Simplify right side
    814.26x = 653,734.55
  5. Step 5: Solve for x
    x = 653,734.55/814.26
  6. Step 6: Final answer
    x = 802.86

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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.