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Finding the Fourth Proportional to 854.13, 1,281.92 and 341.49

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Solution

The fourth proportional to 854.13, 1,281.92 and 341.49 is: 512.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.13 : 1,281.92 = 341.49 : x
  2. Step 2: Convert to fraction form
    854.13/1,281.92 = 341.49/x
  3. Step 3: Cross multiply
    854.13x = 1,281.92 × 341.49
  4. Step 4: Simplify right side
    854.13x = 437,761.15
  5. Step 5: Solve for x
    x = 437,761.15/854.13
  6. Step 6: Final answer
    x = 512.52

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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.