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Finding the Fourth Proportional to 57.67, 85.91 and 56.08

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Solution

The fourth proportional to 57.67, 85.91 and 56.08 is: 83.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.67 : 85.91 = 56.08 : x
  2. Step 2: Convert to fraction form
    57.67/85.91 = 56.08/x
  3. Step 3: Cross multiply
    57.67x = 85.91 × 56.08
  4. Step 4: Simplify right side
    57.67x = 4,817.83
  5. Step 5: Solve for x
    x = 4,817.83/57.67
  6. Step 6: Final answer
    x = 83.54

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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.