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Finding the Fourth Proportional to 51.79, 71.57 and 45.43

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Solution

The fourth proportional to 51.79, 71.57 and 45.43 is: 62.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.79 : 71.57 = 45.43 : x
  2. Step 2: Convert to fraction form
    51.79/71.57 = 45.43/x
  3. Step 3: Cross multiply
    51.79x = 71.57 × 45.43
  4. Step 4: Simplify right side
    51.79x = 3,251.43
  5. Step 5: Solve for x
    x = 3,251.43/51.79
  6. Step 6: Final answer
    x = 62.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.