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Finding the Fourth Proportional to 921.61, 1,382.82 and 851.95

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Solution

The fourth proportional to 921.61, 1,382.82 and 851.95 is: 1,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.61 : 1,382.82 = 851.95 : x
  2. Step 2: Convert to fraction form
    921.61/1,382.82 = 851.95/x
  3. Step 3: Cross multiply
    921.61x = 1,382.82 × 851.95
  4. Step 4: Simplify right side
    921.61x = 1,178,093.50
  5. Step 5: Solve for x
    x = 1,178,093.50/921.61
  6. Step 6: Final answer
    x = 1,278.30

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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.