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Finding the Fourth Proportional to 56.78, 77.77 and 54.04

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Solution

The fourth proportional to 56.78, 77.77 and 54.04 is: 74.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.78 : 77.77 = 54.04 : x
  2. Step 2: Convert to fraction form
    56.78/77.77 = 54.04/x
  3. Step 3: Cross multiply
    56.78x = 77.77 × 54.04
  4. Step 4: Simplify right side
    56.78x = 4,202.69
  5. Step 5: Solve for x
    x = 4,202.69/56.78
  6. Step 6: Final answer
    x = 74.02

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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.