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Finding the Fourth Proportional to 927.72, 1,391.40 and 881.46

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Solution

The fourth proportional to 927.72, 1,391.40 and 881.46 is: 1,322.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.72 : 1,391.40 = 881.46 : x
  2. Step 2: Convert to fraction form
    927.72/1,391.40 = 881.46/x
  3. Step 3: Cross multiply
    927.72x = 1,391.40 × 881.46
  4. Step 4: Simplify right side
    927.72x = 1,226,463.44
  5. Step 5: Solve for x
    x = 1,226,463.44/927.72
  6. Step 6: Final answer
    x = 1,322.02

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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.