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Finding the Fourth Proportional to 57.42, 78.77 and 56.22

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Solution

The fourth proportional to 57.42, 78.77 and 56.22 is: 77.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.42 : 78.77 = 56.22 : x
  2. Step 2: Convert to fraction form
    57.42/78.77 = 56.22/x
  3. Step 3: Cross multiply
    57.42x = 78.77 × 56.22
  4. Step 4: Simplify right side
    57.42x = 4,428.17
  5. Step 5: Solve for x
    x = 4,428.17/57.42
  6. Step 6: Final answer
    x = 77.12

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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.