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Finding the Fourth Proportional to 853.76, 1,280.62 and 415.04

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Solution

The fourth proportional to 853.76, 1,280.62 and 415.04 is: 622.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.76 : 1,280.62 = 415.04 : x
  2. Step 2: Convert to fraction form
    853.76/1,280.62 = 415.04/x
  3. Step 3: Cross multiply
    853.76x = 1,280.62 × 415.04
  4. Step 4: Simplify right side
    853.76x = 531,508.52
  5. Step 5: Solve for x
    x = 531,508.52/853.76
  6. Step 6: Final answer
    x = 622.55

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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.