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Finding the Fourth Proportional to 928.47, 1,286.84 and 911.19

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Solution

The fourth proportional to 928.47, 1,286.84 and 911.19 is: 1,262.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.47 : 1,286.84 = 911.19 : x
  2. Step 2: Convert to fraction form
    928.47/1,286.84 = 911.19/x
  3. Step 3: Cross multiply
    928.47x = 1,286.84 × 911.19
  4. Step 4: Simplify right side
    928.47x = 1,172,551.18
  5. Step 5: Solve for x
    x = 1,172,551.18/928.47
  6. Step 6: Final answer
    x = 1,262.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.