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Finding the Fourth Proportional to 64.89, 96.92 and 57.60

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Solution

The fourth proportional to 64.89, 96.92 and 57.60 is: 86.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.89 : 96.92 = 57.60 : x
  2. Step 2: Convert to fraction form
    64.89/96.92 = 57.60/x
  3. Step 3: Cross multiply
    64.89x = 96.92 × 57.60
  4. Step 4: Simplify right side
    64.89x = 5,582.59
  5. Step 5: Solve for x
    x = 5,582.59/64.89
  6. Step 6: Final answer
    x = 86.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.