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Finding the Fourth Proportional to 57.29, 79.40 and 56.43

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Solution

The fourth proportional to 57.29, 79.40 and 56.43 is: 78.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.29 : 79.40 = 56.43 : x
  2. Step 2: Convert to fraction form
    57.29/79.40 = 56.43/x
  3. Step 3: Cross multiply
    57.29x = 79.40 × 56.43
  4. Step 4: Simplify right side
    57.29x = 4,480.68
  5. Step 5: Solve for x
    x = 4,480.68/57.29
  6. Step 6: Final answer
    x = 78.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.