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Finding the Fourth Proportional to 1,083.80, 1,616.43 and 920.33

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Solution

The fourth proportional to 1,083.80, 1,616.43 and 920.33 is: 1,372.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.80 : 1,616.43 = 920.33 : x
  2. Step 2: Convert to fraction form
    1,083.80/1,616.43 = 920.33/x
  3. Step 3: Cross multiply
    1,083.80x = 1,616.43 × 920.33
  4. Step 4: Simplify right side
    1,083.80x = 1,487,650.76
  5. Step 5: Solve for x
    x = 1,487,650.76/1,083.80
  6. Step 6: Final answer
    x = 1,372.63

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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.