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Finding the Fourth Proportional to 854.85, 1,279.94 and 443.12

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Solution

The fourth proportional to 854.85, 1,279.94 and 443.12 is: 663.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.85 : 1,279.94 = 443.12 : x
  2. Step 2: Convert to fraction form
    854.85/1,279.94 = 443.12/x
  3. Step 3: Cross multiply
    854.85x = 1,279.94 × 443.12
  4. Step 4: Simplify right side
    854.85x = 567,160.61
  5. Step 5: Solve for x
    x = 567,160.61/854.85
  6. Step 6: Final answer
    x = 663.46

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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.