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Finding the Fourth Proportional to 880.16, 1,321.72 and 660.80

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Solution

The fourth proportional to 880.16, 1,321.72 and 660.80 is: 992.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.16 : 1,321.72 = 660.80 : x
  2. Step 2: Convert to fraction form
    880.16/1,321.72 = 660.80/x
  3. Step 3: Cross multiply
    880.16x = 1,321.72 × 660.80
  4. Step 4: Simplify right side
    880.16x = 873,392.58
  5. Step 5: Solve for x
    x = 873,392.58/880.16
  6. Step 6: Final answer
    x = 992.31

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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.