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Finding the Fourth Proportional to 1,033.97, 1,548.32 and 545.54

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Solution

The fourth proportional to 1,033.97, 1,548.32 and 545.54 is: 816.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.97 : 1,548.32 = 545.54 : x
  2. Step 2: Convert to fraction form
    1,033.97/1,548.32 = 545.54/x
  3. Step 3: Cross multiply
    1,033.97x = 1,548.32 × 545.54
  4. Step 4: Simplify right side
    1,033.97x = 844,660.02
  5. Step 5: Solve for x
    x = 844,660.02/1,033.97
  6. Step 6: Final answer
    x = 816.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.