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Finding the Fourth Proportional to 932.17, 1,286.41 and 578.14

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Solution

The fourth proportional to 932.17, 1,286.41 and 578.14 is: 797.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.17 : 1,286.41 = 578.14 : x
  2. Step 2: Convert to fraction form
    932.17/1,286.41 = 578.14/x
  3. Step 3: Cross multiply
    932.17x = 1,286.41 × 578.14
  4. Step 4: Simplify right side
    932.17x = 743,725.08
  5. Step 5: Solve for x
    x = 743,725.08/932.17
  6. Step 6: Final answer
    x = 797.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.