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Finding the Fourth Proportional to 1,242.13, 1,862.97 and 548.68

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Solution

The fourth proportional to 1,242.13, 1,862.97 and 548.68 is: 822.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.13 : 1,862.97 = 548.68 : x
  2. Step 2: Convert to fraction form
    1,242.13/1,862.97 = 548.68/x
  3. Step 3: Cross multiply
    1,242.13x = 1,862.97 × 548.68
  4. Step 4: Simplify right side
    1,242.13x = 1,022,174.38
  5. Step 5: Solve for x
    x = 1,022,174.38/1,242.13
  6. Step 6: Final answer
    x = 822.92

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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.