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Finding the Fourth Proportional to 912.39, 1,369.19 and 668.17

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Solution

The fourth proportional to 912.39, 1,369.19 and 668.17 is: 1,002.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.39 : 1,369.19 = 668.17 : x
  2. Step 2: Convert to fraction form
    912.39/1,369.19 = 668.17/x
  3. Step 3: Cross multiply
    912.39x = 1,369.19 × 668.17
  4. Step 4: Simplify right side
    912.39x = 914,851.68
  5. Step 5: Solve for x
    x = 914,851.68/912.39
  6. Step 6: Final answer
    x = 1,002.70

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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.