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Finding the Fourth Proportional to 76.71, 114.79 and 64.70

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Solution

The fourth proportional to 76.71, 114.79 and 64.70 is: 96.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.71 : 114.79 = 64.70 : x
  2. Step 2: Convert to fraction form
    76.71/114.79 = 64.70/x
  3. Step 3: Cross multiply
    76.71x = 114.79 × 64.70
  4. Step 4: Simplify right side
    76.71x = 7,426.91
  5. Step 5: Solve for x
    x = 7,426.91/76.71
  6. Step 6: Final answer
    x = 96.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.