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Finding the Fourth Proportional to 932.11, 1,286.64 and 559.21

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Solution

The fourth proportional to 932.11, 1,286.64 and 559.21 is: 771.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.11 : 1,286.64 = 559.21 : x
  2. Step 2: Convert to fraction form
    932.11/1,286.64 = 559.21/x
  3. Step 3: Cross multiply
    932.11x = 1,286.64 × 559.21
  4. Step 4: Simplify right side
    932.11x = 719,501.95
  5. Step 5: Solve for x
    x = 719,501.95/932.11
  6. Step 6: Final answer
    x = 771.91

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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.