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Finding the Fourth Proportional to 853, 1,278.82 and 442.20

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Solution

The fourth proportional to 853, 1,278.82 and 442.20 is: 662.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    853 : 1,278.82 = 442.20 : x
  2. Step 2: Convert to fraction form
    853/1,278.82 = 442.20/x
  3. Step 3: Cross multiply
    853x = 1,278.82 × 442.20
  4. Step 4: Simplify right side
    853x = 565,494.20
  5. Step 5: Solve for x
    x = 565,494.20/853
  6. Step 6: Final answer
    x = 662.95

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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.