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Finding the Fourth Proportional to 854.88, 1,280.82 and 765.24

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Solution

The fourth proportional to 854.88, 1,280.82 and 765.24 is: 1,146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.88 : 1,280.82 = 765.24 : x
  2. Step 2: Convert to fraction form
    854.88/1,280.82 = 765.24/x
  3. Step 3: Cross multiply
    854.88x = 1,280.82 × 765.24
  4. Step 4: Simplify right side
    854.88x = 980,134.70
  5. Step 5: Solve for x
    x = 980,134.70/854.88
  6. Step 6: Final answer
    x = 1,146.52

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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.