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Finding the Fourth Proportional to 866.22, 1,298.45 and 495.56

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Solution

The fourth proportional to 866.22, 1,298.45 and 495.56 is: 742.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.22 : 1,298.45 = 495.56 : x
  2. Step 2: Convert to fraction form
    866.22/1,298.45 = 495.56/x
  3. Step 3: Cross multiply
    866.22x = 1,298.45 × 495.56
  4. Step 4: Simplify right side
    866.22x = 643,450.91
  5. Step 5: Solve for x
    x = 643,450.91/866.22
  6. Step 6: Final answer
    x = 742.83

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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.