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Finding the Fourth Proportional to 64.82, 96.67 and 57.67

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Solution

The fourth proportional to 64.82, 96.67 and 57.67 is: 86.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.82 : 96.67 = 57.67 : x
  2. Step 2: Convert to fraction form
    64.82/96.67 = 57.67/x
  3. Step 3: Cross multiply
    64.82x = 96.67 × 57.67
  4. Step 4: Simplify right side
    64.82x = 5,574.96
  5. Step 5: Solve for x
    x = 5,574.96/64.82
  6. Step 6: Final answer
    x = 86.01

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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.