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Finding the Fourth Proportional to 468.63, 650.95 and 461.19

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Solution

The fourth proportional to 468.63, 650.95 and 461.19 is: 640.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.63 : 650.95 = 461.19 : x
  2. Step 2: Convert to fraction form
    468.63/650.95 = 461.19/x
  3. Step 3: Cross multiply
    468.63x = 650.95 × 461.19
  4. Step 4: Simplify right side
    468.63x = 300,211.63
  5. Step 5: Solve for x
    x = 300,211.63/468.63
  6. Step 6: Final answer
    x = 640.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.