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Finding the Fourth Proportional to 1,017.84, 1,517.82 and 888.24

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Solution

The fourth proportional to 1,017.84, 1,517.82 and 888.24 is: 1,324.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.84 : 1,517.82 = 888.24 : x
  2. Step 2: Convert to fraction form
    1,017.84/1,517.82 = 888.24/x
  3. Step 3: Cross multiply
    1,017.84x = 1,517.82 × 888.24
  4. Step 4: Simplify right side
    1,017.84x = 1,348,188.44
  5. Step 5: Solve for x
    x = 1,348,188.44/1,017.84
  6. Step 6: Final answer
    x = 1,324.56

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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.