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Finding the Fourth Proportional to 57.52, 78.83 and 56.68

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Solution

The fourth proportional to 57.52, 78.83 and 56.68 is: 77.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.52 : 78.83 = 56.68 : x
  2. Step 2: Convert to fraction form
    57.52/78.83 = 56.68/x
  3. Step 3: Cross multiply
    57.52x = 78.83 × 56.68
  4. Step 4: Simplify right side
    57.52x = 4,468.08
  5. Step 5: Solve for x
    x = 4,468.08/57.52
  6. Step 6: Final answer
    x = 77.68

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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.