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Finding the Fourth Proportional to 912.35, 1,367.96 and 392.69

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Solution

The fourth proportional to 912.35, 1,367.96 and 392.69 is: 588.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.35 : 1,367.96 = 392.69 : x
  2. Step 2: Convert to fraction form
    912.35/1,367.96 = 392.69/x
  3. Step 3: Cross multiply
    912.35x = 1,367.96 × 392.69
  4. Step 4: Simplify right side
    912.35x = 537,175.41
  5. Step 5: Solve for x
    x = 537,175.41/912.35
  6. Step 6: Final answer
    x = 588.79

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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.