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Finding the Fourth Proportional to 825.85, 1,232.18 and 807.15

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Solution

The fourth proportional to 825.85, 1,232.18 and 807.15 is: 1,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.85 : 1,232.18 = 807.15 : x
  2. Step 2: Convert to fraction form
    825.85/1,232.18 = 807.15/x
  3. Step 3: Cross multiply
    825.85x = 1,232.18 × 807.15
  4. Step 4: Simplify right side
    825.85x = 994,554.09
  5. Step 5: Solve for x
    x = 994,554.09/825.85
  6. Step 6: Final answer
    x = 1,204.28

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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.