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Finding the Fourth Proportional to 921.78, 1,382.88 and 272.46

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Solution

The fourth proportional to 921.78, 1,382.88 and 272.46 is: 408.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.78 : 1,382.88 = 272.46 : x
  2. Step 2: Convert to fraction form
    921.78/1,382.88 = 272.46/x
  3. Step 3: Cross multiply
    921.78x = 1,382.88 × 272.46
  4. Step 4: Simplify right side
    921.78x = 376,779.48
  5. Step 5: Solve for x
    x = 376,779.48/921.78
  6. Step 6: Final answer
    x = 408.75

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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.