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Finding the Fourth Proportional to 57.58, 85.98 and 45.42

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Solution

The fourth proportional to 57.58, 85.98 and 45.42 is: 67.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.58 : 85.98 = 45.42 : x
  2. Step 2: Convert to fraction form
    57.58/85.98 = 45.42/x
  3. Step 3: Cross multiply
    57.58x = 85.98 × 45.42
  4. Step 4: Simplify right side
    57.58x = 3,905.21
  5. Step 5: Solve for x
    x = 3,905.21/57.58
  6. Step 6: Final answer
    x = 67.82

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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.