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Finding the Fourth Proportional to 932.89, 1,286.11 and 704.77

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Solution

The fourth proportional to 932.89, 1,286.11 and 704.77 is: 971.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.89 : 1,286.11 = 704.77 : x
  2. Step 2: Convert to fraction form
    932.89/1,286.11 = 704.77/x
  3. Step 3: Cross multiply
    932.89x = 1,286.11 × 704.77
  4. Step 4: Simplify right side
    932.89x = 906,411.74
  5. Step 5: Solve for x
    x = 906,411.74/932.89
  6. Step 6: Final answer
    x = 971.62

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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.