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Finding the Fourth Proportional to 56.86, 77.94 and 56.77

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Solution

The fourth proportional to 56.86, 77.94 and 56.77 is: 77.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.86 : 77.94 = 56.77 : x
  2. Step 2: Convert to fraction form
    56.86/77.94 = 56.77/x
  3. Step 3: Cross multiply
    56.86x = 77.94 × 56.77
  4. Step 4: Simplify right side
    56.86x = 4,424.65
  5. Step 5: Solve for x
    x = 4,424.65/56.86
  6. Step 6: Final answer
    x = 77.82

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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.