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Finding the Fourth Proportional to 57.79, 79.23 and 56.77

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Solution

The fourth proportional to 57.79, 79.23 and 56.77 is: 77.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.79 : 79.23 = 56.77 : x
  2. Step 2: Convert to fraction form
    57.79/79.23 = 56.77/x
  3. Step 3: Cross multiply
    57.79x = 79.23 × 56.77
  4. Step 4: Simplify right side
    57.79x = 4,497.69
  5. Step 5: Solve for x
    x = 4,497.69/57.79
  6. Step 6: Final answer
    x = 77.83

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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.