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Finding the Fourth Proportional to 880.70, 1,321.05 and 726.80

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Solution

The fourth proportional to 880.70, 1,321.05 and 726.80 is: 1,090.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.70 : 1,321.05 = 726.80 : x
  2. Step 2: Convert to fraction form
    880.70/1,321.05 = 726.80/x
  3. Step 3: Cross multiply
    880.70x = 1,321.05 × 726.80
  4. Step 4: Simplify right side
    880.70x = 960,139.14
  5. Step 5: Solve for x
    x = 960,139.14/880.70
  6. Step 6: Final answer
    x = 1,090.20

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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.