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Finding the Fourth Proportional to 62, 85.57 and 45.41

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Solution

The fourth proportional to 62, 85.57 and 45.41 is: 62.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    62 : 85.57 = 45.41 : x
  2. Step 2: Convert to fraction form
    62/85.57 = 45.41/x
  3. Step 3: Cross multiply
    62x = 85.57 × 45.41
  4. Step 4: Simplify right side
    62x = 3,885.73
  5. Step 5: Solve for x
    x = 3,885.73/62
  6. Step 6: Final answer
    x = 62.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.