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Finding the Fourth Proportional to 1,638.48, 2,456.81 and 542.25

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Solution

The fourth proportional to 1,638.48, 2,456.81 and 542.25 is: 813.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.48 : 2,456.81 = 542.25 : x
  2. Step 2: Convert to fraction form
    1,638.48/2,456.81 = 542.25/x
  3. Step 3: Cross multiply
    1,638.48x = 2,456.81 × 542.25
  4. Step 4: Simplify right side
    1,638.48x = 1,332,195.33
  5. Step 5: Solve for x
    x = 1,332,195.33/1,638.48
  6. Step 6: Final answer
    x = 813.07

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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.