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Finding the Fourth Proportional to 432.30, 599.31 and 408.92

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Solution

The fourth proportional to 432.30, 599.31 and 408.92 is: 566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.30 : 599.31 = 408.92 : x
  2. Step 2: Convert to fraction form
    432.30/599.31 = 408.92/x
  3. Step 3: Cross multiply
    432.30x = 599.31 × 408.92
  4. Step 4: Simplify right side
    432.30x = 245,066.85
  5. Step 5: Solve for x
    x = 245,066.85/432.30
  6. Step 6: Final answer
    x = 566.89

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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.