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Finding the Fourth Proportional to 62.25, 85.86 and 57.12

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Solution

The fourth proportional to 62.25, 85.86 and 57.12 is: 78.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.25 : 85.86 = 57.12 : x
  2. Step 2: Convert to fraction form
    62.25/85.86 = 57.12/x
  3. Step 3: Cross multiply
    62.25x = 85.86 × 57.12
  4. Step 4: Simplify right side
    62.25x = 4,904.32
  5. Step 5: Solve for x
    x = 4,904.32/62.25
  6. Step 6: Final answer
    x = 78.78

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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.