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Finding the Fourth Proportional to 857.38, 1,181.97 and 608.61

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Solution

The fourth proportional to 857.38, 1,181.97 and 608.61 is: 839.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.38 : 1,181.97 = 608.61 : x
  2. Step 2: Convert to fraction form
    857.38/1,181.97 = 608.61/x
  3. Step 3: Cross multiply
    857.38x = 1,181.97 × 608.61
  4. Step 4: Simplify right side
    857.38x = 719,360.35
  5. Step 5: Solve for x
    x = 719,360.35/857.38
  6. Step 6: Final answer
    x = 839.02

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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.