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Finding the Fourth Proportional to 56.66, 77.67 and 55.98

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Solution

The fourth proportional to 56.66, 77.67 and 55.98 is: 76.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.66 : 77.67 = 55.98 : x
  2. Step 2: Convert to fraction form
    56.66/77.67 = 55.98/x
  3. Step 3: Cross multiply
    56.66x = 77.67 × 55.98
  4. Step 4: Simplify right side
    56.66x = 4,347.97
  5. Step 5: Solve for x
    x = 4,347.97/56.66
  6. Step 6: Final answer
    x = 76.74

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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.