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Finding the Fourth Proportional to 825.26, 1,138.86 and 457.26

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Solution

The fourth proportional to 825.26, 1,138.86 and 457.26 is: 631.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.26 : 1,138.86 = 457.26 : x
  2. Step 2: Convert to fraction form
    825.26/1,138.86 = 457.26/x
  3. Step 3: Cross multiply
    825.26x = 1,138.86 × 457.26
  4. Step 4: Simplify right side
    825.26x = 520,755.12
  5. Step 5: Solve for x
    x = 520,755.12/825.26
  6. Step 6: Final answer
    x = 631.02

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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.