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Finding the Fourth Proportional to 432.72, 644.97 and 421.18

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Solution

The fourth proportional to 432.72, 644.97 and 421.18 is: 627.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.72 : 644.97 = 421.18 : x
  2. Step 2: Convert to fraction form
    432.72/644.97 = 421.18/x
  3. Step 3: Cross multiply
    432.72x = 644.97 × 421.18
  4. Step 4: Simplify right side
    432.72x = 271,648.46
  5. Step 5: Solve for x
    x = 271,648.46/432.72
  6. Step 6: Final answer
    x = 627.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.