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Finding the Fourth Proportional to 932.27, 1,286.91 and 578.27

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Solution

The fourth proportional to 932.27, 1,286.91 and 578.27 is: 798.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.27 : 1,286.91 = 578.27 : x
  2. Step 2: Convert to fraction form
    932.27/1,286.91 = 578.27/x
  3. Step 3: Cross multiply
    932.27x = 1,286.91 × 578.27
  4. Step 4: Simplify right side
    932.27x = 744,172.12
  5. Step 5: Solve for x
    x = 744,172.12/932.27
  6. Step 6: Final answer
    x = 798.24

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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.