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Finding the Fourth Proportional to 57.99, 79.70 and 47.61

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Solution

The fourth proportional to 57.99, 79.70 and 47.61 is: 65.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.99 : 79.70 = 47.61 : x
  2. Step 2: Convert to fraction form
    57.99/79.70 = 47.61/x
  3. Step 3: Cross multiply
    57.99x = 79.70 × 47.61
  4. Step 4: Simplify right side
    57.99x = 3,794.28
  5. Step 5: Solve for x
    x = 3,794.28/57.99
  6. Step 6: Final answer
    x = 65.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.