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Finding the Fourth Proportional to 853.55, 1,278.65 and 442.95

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Solution

The fourth proportional to 853.55, 1,278.65 and 442.95 is: 663.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.55 : 1,278.65 = 442.95 : x
  2. Step 2: Convert to fraction form
    853.55/1,278.65 = 442.95/x
  3. Step 3: Cross multiply
    853.55x = 1,278.65 × 442.95
  4. Step 4: Simplify right side
    853.55x = 566,378.02
  5. Step 5: Solve for x
    x = 566,378.02/853.55
  6. Step 6: Final answer
    x = 663.56

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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.