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Finding the Fourth Proportional to 927.74, 1,279.23 and 694.46

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Solution

The fourth proportional to 927.74, 1,279.23 and 694.46 is: 957.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.74 : 1,279.23 = 694.46 : x
  2. Step 2: Convert to fraction form
    927.74/1,279.23 = 694.46/x
  3. Step 3: Cross multiply
    927.74x = 1,279.23 × 694.46
  4. Step 4: Simplify right side
    927.74x = 888,374.07
  5. Step 5: Solve for x
    x = 888,374.07/927.74
  6. Step 6: Final answer
    x = 957.57

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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.