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Finding the Fourth Proportional to 1,122.28, 1,676.96 and 857.26

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Solution

The fourth proportional to 1,122.28, 1,676.96 and 857.26 is: 1,280.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.28 : 1,676.96 = 857.26 : x
  2. Step 2: Convert to fraction form
    1,122.28/1,676.96 = 857.26/x
  3. Step 3: Cross multiply
    1,122.28x = 1,676.96 × 857.26
  4. Step 4: Simplify right side
    1,122.28x = 1,437,590.73
  5. Step 5: Solve for x
    x = 1,437,590.73/1,122.28
  6. Step 6: Final answer
    x = 1,280.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.