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Finding the Fourth Proportional to 462.75, 638.85 and 305.64

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Solution

The fourth proportional to 462.75, 638.85 and 305.64 is: 421.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.75 : 638.85 = 305.64 : x
  2. Step 2: Convert to fraction form
    462.75/638.85 = 305.64/x
  3. Step 3: Cross multiply
    462.75x = 638.85 × 305.64
  4. Step 4: Simplify right side
    462.75x = 195,258.11
  5. Step 5: Solve for x
    x = 195,258.11/462.75
  6. Step 6: Final answer
    x = 421.95

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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.