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Finding the Fourth Proportional to 912.55, 1,367.24 and 718.78

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Solution

The fourth proportional to 912.55, 1,367.24 and 718.78 is: 1,076.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.55 : 1,367.24 = 718.78 : x
  2. Step 2: Convert to fraction form
    912.55/1,367.24 = 718.78/x
  3. Step 3: Cross multiply
    912.55x = 1,367.24 × 718.78
  4. Step 4: Simplify right side
    912.55x = 982,744.77
  5. Step 5: Solve for x
    x = 982,744.77/912.55
  6. Step 6: Final answer
    x = 1,076.92

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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.