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Finding the Fourth Proportional to 1,033.80, 1,548.90 and 648.60

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Solution

The fourth proportional to 1,033.80, 1,548.90 and 648.60 is: 971.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.80 : 1,548.90 = 648.60 : x
  2. Step 2: Convert to fraction form
    1,033.80/1,548.90 = 648.60/x
  3. Step 3: Cross multiply
    1,033.80x = 1,548.90 × 648.60
  4. Step 4: Simplify right side
    1,033.80x = 1,004,616.54
  5. Step 5: Solve for x
    x = 1,004,616.54/1,033.80
  6. Step 6: Final answer
    x = 971.77

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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.