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Finding the Fourth Proportional to 1,083.53, 1,616.79 and 1,017.41

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Solution

The fourth proportional to 1,083.53, 1,616.79 and 1,017.41 is: 1,518.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.53 : 1,616.79 = 1,017.41 : x
  2. Step 2: Convert to fraction form
    1,083.53/1,616.79 = 1,017.41/x
  3. Step 3: Cross multiply
    1,083.53x = 1,616.79 × 1,017.41
  4. Step 4: Simplify right side
    1,083.53x = 1,644,938.31
  5. Step 5: Solve for x
    x = 1,644,938.31/1,083.53
  6. Step 6: Final answer
    x = 1,518.13

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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.