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Finding the Fourth Proportional to 471.11, 644.36 and 463.55

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Solution

The fourth proportional to 471.11, 644.36 and 463.55 is: 634.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.11 : 644.36 = 463.55 : x
  2. Step 2: Convert to fraction form
    471.11/644.36 = 463.55/x
  3. Step 3: Cross multiply
    471.11x = 644.36 × 463.55
  4. Step 4: Simplify right side
    471.11x = 298,693.08
  5. Step 5: Solve for x
    x = 298,693.08/471.11
  6. Step 6: Final answer
    x = 634.02

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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.