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Finding the Fourth Proportional to 857.96, 1,182.18 and 581.48

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Solution

The fourth proportional to 857.96, 1,182.18 and 581.48 is: 801.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.96 : 1,182.18 = 581.48 : x
  2. Step 2: Convert to fraction form
    857.96/1,182.18 = 581.48/x
  3. Step 3: Cross multiply
    857.96x = 1,182.18 × 581.48
  4. Step 4: Simplify right side
    857.96x = 687,414.03
  5. Step 5: Solve for x
    x = 687,414.03/857.96
  6. Step 6: Final answer
    x = 801.22

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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.