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Finding the Fourth Proportional to 881.70, 1,213.02 and 857.40

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Solution

The fourth proportional to 881.70, 1,213.02 and 857.40 is: 1,179.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.70 : 1,213.02 = 857.40 : x
  2. Step 2: Convert to fraction form
    881.70/1,213.02 = 857.40/x
  3. Step 3: Cross multiply
    881.70x = 1,213.02 × 857.40
  4. Step 4: Simplify right side
    881.70x = 1,040,043.35
  5. Step 5: Solve for x
    x = 1,040,043.35/881.70
  6. Step 6: Final answer
    x = 1,179.59

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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.