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Finding the Fourth Proportional to 814.81, 1,220.46 and 429.25

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Solution

The fourth proportional to 814.81, 1,220.46 and 429.25 is: 642.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.81 : 1,220.46 = 429.25 : x
  2. Step 2: Convert to fraction form
    814.81/1,220.46 = 429.25/x
  3. Step 3: Cross multiply
    814.81x = 1,220.46 × 429.25
  4. Step 4: Simplify right side
    814.81x = 523,882.46
  5. Step 5: Solve for x
    x = 523,882.46/814.81
  6. Step 6: Final answer
    x = 642.95

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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.