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Finding the Fourth Proportional to 927.74, 1,391.61 and 744.23

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Solution

The fourth proportional to 927.74, 1,391.61 and 744.23 is: 1,116.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.74 : 1,391.61 = 744.23 : x
  2. Step 2: Convert to fraction form
    927.74/1,391.61 = 744.23/x
  3. Step 3: Cross multiply
    927.74x = 1,391.61 × 744.23
  4. Step 4: Simplify right side
    927.74x = 1,035,677.91
  5. Step 5: Solve for x
    x = 1,035,677.91/927.74
  6. Step 6: Final answer
    x = 1,116.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.