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Finding the Fourth Proportional to 854.57, 1,280.63 and 488.61

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Solution

The fourth proportional to 854.57, 1,280.63 and 488.61 is: 732.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.57 : 1,280.63 = 488.61 : x
  2. Step 2: Convert to fraction form
    854.57/1,280.63 = 488.61/x
  3. Step 3: Cross multiply
    854.57x = 1,280.63 × 488.61
  4. Step 4: Simplify right side
    854.57x = 625,729.85
  5. Step 5: Solve for x
    x = 625,729.85/854.57
  6. Step 6: Final answer
    x = 732.21

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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.