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Finding the Fourth Proportional to 932.26, 1,286.07 and 559.06

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Solution

The fourth proportional to 932.26, 1,286.07 and 559.06 is: 771.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.26 : 1,286.07 = 559.06 : x
  2. Step 2: Convert to fraction form
    932.26/1,286.07 = 559.06/x
  3. Step 3: Cross multiply
    932.26x = 1,286.07 × 559.06
  4. Step 4: Simplify right side
    932.26x = 718,990.29
  5. Step 5: Solve for x
    x = 718,990.29/932.26
  6. Step 6: Final answer
    x = 771.23

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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.