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Finding the Fourth Proportional to 912.27, 1,367.15 and 478.56

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Solution

The fourth proportional to 912.27, 1,367.15 and 478.56 is: 717.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.27 : 1,367.15 = 478.56 : x
  2. Step 2: Convert to fraction form
    912.27/1,367.15 = 478.56/x
  3. Step 3: Cross multiply
    912.27x = 1,367.15 × 478.56
  4. Step 4: Simplify right side
    912.27x = 654,260.91
  5. Step 5: Solve for x
    x = 654,260.91/912.27
  6. Step 6: Final answer
    x = 717.18

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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.