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Finding the Fourth Proportional to 880.80, 1,215.60 and 531.68

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Solution

The fourth proportional to 880.80, 1,215.60 and 531.68 is: 733.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.80 : 1,215.60 = 531.68 : x
  2. Step 2: Convert to fraction form
    880.80/1,215.60 = 531.68/x
  3. Step 3: Cross multiply
    880.80x = 1,215.60 × 531.68
  4. Step 4: Simplify right side
    880.80x = 646,310.21
  5. Step 5: Solve for x
    x = 646,310.21/880.80
  6. Step 6: Final answer
    x = 733.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.