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Finding the Fourth Proportional to 825.48, 1,138.92 and 476.16

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Solution

The fourth proportional to 825.48, 1,138.92 and 476.16 is: 656.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.48 : 1,138.92 = 476.16 : x
  2. Step 2: Convert to fraction form
    825.48/1,138.92 = 476.16/x
  3. Step 3: Cross multiply
    825.48x = 1,138.92 × 476.16
  4. Step 4: Simplify right side
    825.48x = 542,308.15
  5. Step 5: Solve for x
    x = 542,308.15/825.48
  6. Step 6: Final answer
    x = 656.96

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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.