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Finding the Fourth Proportional to 825.14, 1,138.65 and 605.02

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Solution

The fourth proportional to 825.14, 1,138.65 and 605.02 is: 834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.14 : 1,138.65 = 605.02 : x
  2. Step 2: Convert to fraction form
    825.14/1,138.65 = 605.02/x
  3. Step 3: Cross multiply
    825.14x = 1,138.65 × 605.02
  4. Step 4: Simplify right side
    825.14x = 688,906.02
  5. Step 5: Solve for x
    x = 688,906.02/825.14
  6. Step 6: Final answer
    x = 834.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.