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Finding the Fourth Proportional to 880.40, 1,326.46 and 797.11

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Solution

The fourth proportional to 880.40, 1,326.46 and 797.11 is: 1,200.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.40 : 1,326.46 = 797.11 : x
  2. Step 2: Convert to fraction form
    880.40/1,326.46 = 797.11/x
  3. Step 3: Cross multiply
    880.40x = 1,326.46 × 797.11
  4. Step 4: Simplify right side
    880.40x = 1,057,334.53
  5. Step 5: Solve for x
    x = 1,057,334.53/880.40
  6. Step 6: Final answer
    x = 1,200.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.