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Finding the Fourth Proportional to 854.20, 1,281.60 and 824.20

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Solution

The fourth proportional to 854.20, 1,281.60 and 824.20 is: 1,236.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.20 : 1,281.60 = 824.20 : x
  2. Step 2: Convert to fraction form
    854.20/1,281.60 = 824.20/x
  3. Step 3: Cross multiply
    854.20x = 1,281.60 × 824.20
  4. Step 4: Simplify right side
    854.20x = 1,056,294.72
  5. Step 5: Solve for x
    x = 1,056,294.72/854.20
  6. Step 6: Final answer
    x = 1,236.59

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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.