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Finding the Fourth Proportional to 814.28, 1,213.08 and 775.10

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Solution

The fourth proportional to 814.28, 1,213.08 and 775.10 is: 1,154.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.28 : 1,213.08 = 775.10 : x
  2. Step 2: Convert to fraction form
    814.28/1,213.08 = 775.10/x
  3. Step 3: Cross multiply
    814.28x = 1,213.08 × 775.10
  4. Step 4: Simplify right side
    814.28x = 940,258.31
  5. Step 5: Solve for x
    x = 940,258.31/814.28
  6. Step 6: Final answer
    x = 1,154.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.