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Finding the Fourth Proportional to 814.37, 1,220.69 and 402.66

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Solution

The fourth proportional to 814.37, 1,220.69 and 402.66 is: 603.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.37 : 1,220.69 = 402.66 : x
  2. Step 2: Convert to fraction form
    814.37/1,220.69 = 402.66/x
  3. Step 3: Cross multiply
    814.37x = 1,220.69 × 402.66
  4. Step 4: Simplify right side
    814.37x = 491,516.93
  5. Step 5: Solve for x
    x = 491,516.93/814.37
  6. Step 6: Final answer
    x = 603.56

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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.