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Finding the Fourth Proportional to 74.70, 102.70 and 63.77

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Solution

The fourth proportional to 74.70, 102.70 and 63.77 is: 87.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.70 : 102.70 = 63.77 : x
  2. Step 2: Convert to fraction form
    74.70/102.70 = 63.77/x
  3. Step 3: Cross multiply
    74.70x = 102.70 × 63.77
  4. Step 4: Simplify right side
    74.70x = 6,548.75
  5. Step 5: Solve for x
    x = 6,548.75/74.70
  6. Step 6: Final answer
    x = 87.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.