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Finding the Fourth Proportional to 57.52, 85.87 and 56.94

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Solution

The fourth proportional to 57.52, 85.87 and 56.94 is: 85.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.52 : 85.87 = 56.94 : x
  2. Step 2: Convert to fraction form
    57.52/85.87 = 56.94/x
  3. Step 3: Cross multiply
    57.52x = 85.87 × 56.94
  4. Step 4: Simplify right side
    57.52x = 4,889.44
  5. Step 5: Solve for x
    x = 4,889.44/57.52
  6. Step 6: Final answer
    x = 85.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.