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Finding the Fourth Proportional to 854.96, 1,280.38 and 488.64

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Solution

The fourth proportional to 854.96, 1,280.38 and 488.64 is: 731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.96 : 1,280.38 = 488.64 : x
  2. Step 2: Convert to fraction form
    854.96/1,280.38 = 488.64/x
  3. Step 3: Cross multiply
    854.96x = 1,280.38 × 488.64
  4. Step 4: Simplify right side
    854.96x = 625,644.88
  5. Step 5: Solve for x
    x = 625,644.88/854.96
  6. Step 6: Final answer
    x = 731.78

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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.