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Finding the Fourth Proportional to 932.22, 1,286.43 and 512.54

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Solution

The fourth proportional to 932.22, 1,286.43 and 512.54 is: 707.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.22 : 1,286.43 = 512.54 : x
  2. Step 2: Convert to fraction form
    932.22/1,286.43 = 512.54/x
  3. Step 3: Cross multiply
    932.22x = 1,286.43 × 512.54
  4. Step 4: Simplify right side
    932.22x = 659,341.13
  5. Step 5: Solve for x
    x = 659,341.13/932.22
  6. Step 6: Final answer
    x = 707.28

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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.