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Finding the Fourth Proportional to 854.15, 1,280.24 and 415.62

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Solution

The fourth proportional to 854.15, 1,280.24 and 415.62 is: 622.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.15 : 1,280.24 = 415.62 : x
  2. Step 2: Convert to fraction form
    854.15/1,280.24 = 415.62/x
  3. Step 3: Cross multiply
    854.15x = 1,280.24 × 415.62
  4. Step 4: Simplify right side
    854.15x = 532,093.35
  5. Step 5: Solve for x
    x = 532,093.35/854.15
  6. Step 6: Final answer
    x = 622.95

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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.