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Finding the Fourth Proportional to 866.48, 1,290.97 and 825.20

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Solution

The fourth proportional to 866.48, 1,290.97 and 825.20 is: 1,229.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.48 : 1,290.97 = 825.20 : x
  2. Step 2: Convert to fraction form
    866.48/1,290.97 = 825.20/x
  3. Step 3: Cross multiply
    866.48x = 1,290.97 × 825.20
  4. Step 4: Simplify right side
    866.48x = 1,065,308.44
  5. Step 5: Solve for x
    x = 1,065,308.44/866.48
  6. Step 6: Final answer
    x = 1,229.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.