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Finding the Fourth Proportional to 857.76, 1,182.08 and 841.97

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Solution

The fourth proportional to 857.76, 1,182.08 and 841.97 is: 1,160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.76 : 1,182.08 = 841.97 : x
  2. Step 2: Convert to fraction form
    857.76/1,182.08 = 841.97/x
  3. Step 3: Cross multiply
    857.76x = 1,182.08 × 841.97
  4. Step 4: Simplify right side
    857.76x = 995,265.78
  5. Step 5: Solve for x
    x = 995,265.78/857.76
  6. Step 6: Final answer
    x = 1,160.31

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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.