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Finding the Fourth Proportional to 60.75, 84.00 and 57.88

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Solution

The fourth proportional to 60.75, 84.00 and 57.88 is: 80.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.75 : 84.00 = 57.88 : x
  2. Step 2: Convert to fraction form
    60.75/84.00 = 57.88/x
  3. Step 3: Cross multiply
    60.75x = 84.00 × 57.88
  4. Step 4: Simplify right side
    60.75x = 4,862.24
  5. Step 5: Solve for x
    x = 4,862.24/60.75
  6. Step 6: Final answer
    x = 80.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.