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Finding the Fourth Proportional to 471.48, 644.87 and 463.92

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Solution

The fourth proportional to 471.48, 644.87 and 463.92 is: 634.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.48 : 644.87 = 463.92 : x
  2. Step 2: Convert to fraction form
    471.48/644.87 = 463.92/x
  3. Step 3: Cross multiply
    471.48x = 644.87 × 463.92
  4. Step 4: Simplify right side
    471.48x = 299,168.09
  5. Step 5: Solve for x
    x = 299,168.09/471.48
  6. Step 6: Final answer
    x = 634.53

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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.