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Finding the Fourth Proportional to 825.30, 1,244.14 and 818.01

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Solution

The fourth proportional to 825.30, 1,244.14 and 818.01 is: 1,233.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.30 : 1,244.14 = 818.01 : x
  2. Step 2: Convert to fraction form
    825.30/1,244.14 = 818.01/x
  3. Step 3: Cross multiply
    825.30x = 1,244.14 × 818.01
  4. Step 4: Simplify right side
    825.30x = 1,017,716.92
  5. Step 5: Solve for x
    x = 1,017,716.92/825.30
  6. Step 6: Final answer
    x = 1,233.15

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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.