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Finding the Fourth Proportional to 814.14, 1,220.85 and 403.16

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Solution

The fourth proportional to 814.14, 1,220.85 and 403.16 is: 604.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.14 : 1,220.85 = 403.16 : x
  2. Step 2: Convert to fraction form
    814.14/1,220.85 = 403.16/x
  3. Step 3: Cross multiply
    814.14x = 1,220.85 × 403.16
  4. Step 4: Simplify right side
    814.14x = 492,191.78
  5. Step 5: Solve for x
    x = 492,191.78/814.14
  6. Step 6: Final answer
    x = 604.55

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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.