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Finding the Fourth Proportional to 932.80, 1,286.92 and 711.40

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Solution

The fourth proportional to 932.80, 1,286.92 and 711.40 is: 981.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.80 : 1,286.92 = 711.40 : x
  2. Step 2: Convert to fraction form
    932.80/1,286.92 = 711.40/x
  3. Step 3: Cross multiply
    932.80x = 1,286.92 × 711.40
  4. Step 4: Simplify right side
    932.80x = 915,514.89
  5. Step 5: Solve for x
    x = 915,514.89/932.80
  6. Step 6: Final answer
    x = 981.47

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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.