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Finding the Fourth Proportional to 636.12, 949.10 and 577.67

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Solution

The fourth proportional to 636.12, 949.10 and 577.67 is: 861.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.12 : 949.10 = 577.67 : x
  2. Step 2: Convert to fraction form
    636.12/949.10 = 577.67/x
  3. Step 3: Cross multiply
    636.12x = 949.10 × 577.67
  4. Step 4: Simplify right side
    636.12x = 548,258.96
  5. Step 5: Solve for x
    x = 548,258.96/636.12
  6. Step 6: Final answer
    x = 861.88

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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.