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Finding the Fourth Proportional to 56.64, 77.64 and 54.02

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Solution

The fourth proportional to 56.64, 77.64 and 54.02 is: 74.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.64 : 77.64 = 54.02 : x
  2. Step 2: Convert to fraction form
    56.64/77.64 = 54.02/x
  3. Step 3: Cross multiply
    56.64x = 77.64 × 54.02
  4. Step 4: Simplify right side
    56.64x = 4,194.11
  5. Step 5: Solve for x
    x = 4,194.11/56.64
  6. Step 6: Final answer
    x = 74.05

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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.