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Finding the Fourth Proportional to 432.01, 644.60 and 405.75

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Solution

The fourth proportional to 432.01, 644.60 and 405.75 is: 605.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.01 : 644.60 = 405.75 : x
  2. Step 2: Convert to fraction form
    432.01/644.60 = 405.75/x
  3. Step 3: Cross multiply
    432.01x = 644.60 × 405.75
  4. Step 4: Simplify right side
    432.01x = 261,544.42
  5. Step 5: Solve for x
    x = 261,544.42/432.01
  6. Step 6: Final answer
    x = 605.42

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Why These Related Problems?

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