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Finding the Fourth Proportional to 814.29, 1,123.70 and 460.20

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Solution

The fourth proportional to 814.29, 1,123.70 and 460.20 is: 635.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.29 : 1,123.70 = 460.20 : x
  2. Step 2: Convert to fraction form
    814.29/1,123.70 = 460.20/x
  3. Step 3: Cross multiply
    814.29x = 1,123.70 × 460.20
  4. Step 4: Simplify right side
    814.29x = 517,134.24
  5. Step 5: Solve for x
    x = 517,134.24/814.29
  6. Step 6: Final answer
    x = 635.08

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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.