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Finding the Fourth Proportional to 1,243.90, 1,714.11 and 888.82

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Solution

The fourth proportional to 1,243.90, 1,714.11 and 888.82 is: 1,224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.90 : 1,714.11 = 888.82 : x
  2. Step 2: Convert to fraction form
    1,243.90/1,714.11 = 888.82/x
  3. Step 3: Cross multiply
    1,243.90x = 1,714.11 × 888.82
  4. Step 4: Simplify right side
    1,243.90x = 1,523,535.25
  5. Step 5: Solve for x
    x = 1,523,535.25/1,243.90
  6. Step 6: Final answer
    x = 1,224.81

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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.