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Finding the Fourth Proportional to 814.28, 1,220.55 and 746.64

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Solution

The fourth proportional to 814.28, 1,220.55 and 746.64 is: 1,119.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.28 : 1,220.55 = 746.64 : x
  2. Step 2: Convert to fraction form
    814.28/1,220.55 = 746.64/x
  3. Step 3: Cross multiply
    814.28x = 1,220.55 × 746.64
  4. Step 4: Simplify right side
    814.28x = 911,311.45
  5. Step 5: Solve for x
    x = 911,311.45/814.28
  6. Step 6: Final answer
    x = 1,119.17

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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.