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Finding the Fourth Proportional to 932.12, 1,286 and 538.88

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Solution

The fourth proportional to 932.12, 1,286 and 538.88 is: 743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.12 : 1,286 = 538.88 : x
  2. Step 2: Convert to fraction form
    932.12/1,286 = 538.88/x
  3. Step 3: Cross multiply
    932.12x = 1,286 × 538.88
  4. Step 4: Simplify right side
    932.12x = 692,999.68
  5. Step 5: Solve for x
    x = 692,999.68/932.12
  6. Step 6: Final answer
    x = 743.47

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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.