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Finding the Fourth Proportional to 57.15, 77.85 and 56.88

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Solution

The fourth proportional to 57.15, 77.85 and 56.88 is: 77.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.15 : 77.85 = 56.88 : x
  2. Step 2: Convert to fraction form
    57.15/77.85 = 56.88/x
  3. Step 3: Cross multiply
    57.15x = 77.85 × 56.88
  4. Step 4: Simplify right side
    57.15x = 4,428.11
  5. Step 5: Solve for x
    x = 4,428.11/57.15
  6. Step 6: Final answer
    x = 77.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.