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Finding the Fourth Proportional to 814.88, 1,223.87 and 781.61

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Solution

The fourth proportional to 814.88, 1,223.87 and 781.61 is: 1,173.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.88 : 1,223.87 = 781.61 : x
  2. Step 2: Convert to fraction form
    814.88/1,223.87 = 781.61/x
  3. Step 3: Cross multiply
    814.88x = 1,223.87 × 781.61
  4. Step 4: Simplify right side
    814.88x = 956,579.00
  5. Step 5: Solve for x
    x = 956,579.00/814.88
  6. Step 6: Final answer
    x = 1,173.90

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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.