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Finding the Fourth Proportional to 927.24, 1,382.35 and 854.16

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Solution

The fourth proportional to 927.24, 1,382.35 and 854.16 is: 1,273.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.24 : 1,382.35 = 854.16 : x
  2. Step 2: Convert to fraction form
    927.24/1,382.35 = 854.16/x
  3. Step 3: Cross multiply
    927.24x = 1,382.35 × 854.16
  4. Step 4: Simplify right side
    927.24x = 1,180,748.08
  5. Step 5: Solve for x
    x = 1,180,748.08/927.24
  6. Step 6: Final answer
    x = 1,273.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.