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Finding the Fourth Proportional to 814.60, 1,228.46 and 803.68

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Solution

The fourth proportional to 814.60, 1,228.46 and 803.68 is: 1,211.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.60 : 1,228.46 = 803.68 : x
  2. Step 2: Convert to fraction form
    814.60/1,228.46 = 803.68/x
  3. Step 3: Cross multiply
    814.60x = 1,228.46 × 803.68
  4. Step 4: Simplify right side
    814.60x = 987,288.73
  5. Step 5: Solve for x
    x = 987,288.73/814.60
  6. Step 6: Final answer
    x = 1,211.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.