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Finding the Fourth Proportional to 64.73, 89.40 and 57.82

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Solution

The fourth proportional to 64.73, 89.40 and 57.82 is: 79.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.73 : 89.40 = 57.82 : x
  2. Step 2: Convert to fraction form
    64.73/89.40 = 57.82/x
  3. Step 3: Cross multiply
    64.73x = 89.40 × 57.82
  4. Step 4: Simplify right side
    64.73x = 5,169.11
  5. Step 5: Solve for x
    x = 5,169.11/64.73
  6. Step 6: Final answer
    x = 79.86

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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.