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Finding the Fourth Proportional to 463.01, 639.06 and 305.67

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Solution

The fourth proportional to 463.01, 639.06 and 305.67 is: 421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.01 : 639.06 = 305.67 : x
  2. Step 2: Convert to fraction form
    463.01/639.06 = 305.67/x
  3. Step 3: Cross multiply
    463.01x = 639.06 × 305.67
  4. Step 4: Simplify right side
    463.01x = 195,336.75
  5. Step 5: Solve for x
    x = 195,336.75/463.01
  6. Step 6: Final answer
    x = 421.89

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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.