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Finding the Fourth Proportional to 927.04, 1,279.93 and 716.85

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Solution

The fourth proportional to 927.04, 1,279.93 and 716.85 is: 989.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.04 : 1,279.93 = 716.85 : x
  2. Step 2: Convert to fraction form
    927.04/1,279.93 = 716.85/x
  3. Step 3: Cross multiply
    927.04x = 1,279.93 × 716.85
  4. Step 4: Simplify right side
    927.04x = 917,517.82
  5. Step 5: Solve for x
    x = 917,517.82/927.04
  6. Step 6: Final answer
    x = 989.73

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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.