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Finding the Fourth Proportional to 825.29, 1,138.42 and 514.25

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Solution

The fourth proportional to 825.29, 1,138.42 and 514.25 is: 709.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.29 : 1,138.42 = 514.25 : x
  2. Step 2: Convert to fraction form
    825.29/1,138.42 = 514.25/x
  3. Step 3: Cross multiply
    825.29x = 1,138.42 × 514.25
  4. Step 4: Simplify right side
    825.29x = 585,432.49
  5. Step 5: Solve for x
    x = 585,432.49/825.29
  6. Step 6: Final answer
    x = 709.37

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1.5x scale

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.