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Finding the Fourth Proportional to 47.57, 70.97 and 44.65

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Solution

The fourth proportional to 47.57, 70.97 and 44.65 is: 66.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.57 : 70.97 = 44.65 : x
  2. Step 2: Convert to fraction form
    47.57/70.97 = 44.65/x
  3. Step 3: Cross multiply
    47.57x = 70.97 × 44.65
  4. Step 4: Simplify right side
    47.57x = 3,168.46
  5. Step 5: Solve for x
    x = 3,168.46/47.57
  6. Step 6: Final answer
    x = 66.61

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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.