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Finding the Fourth Proportional to 814.13, 1,219.67 and 402.79

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Solution

The fourth proportional to 814.13, 1,219.67 and 402.79 is: 603.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.13 : 1,219.67 = 402.79 : x
  2. Step 2: Convert to fraction form
    814.13/1,219.67 = 402.79/x
  3. Step 3: Cross multiply
    814.13x = 1,219.67 × 402.79
  4. Step 4: Simplify right side
    814.13x = 491,266.82
  5. Step 5: Solve for x
    x = 491,266.82/814.13
  6. Step 6: Final answer
    x = 603.42

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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.