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Finding the Fourth Proportional to 409.68, 568.30 and 399.12

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Solution

The fourth proportional to 409.68, 568.30 and 399.12 is: 553.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.68 : 568.30 = 399.12 : x
  2. Step 2: Convert to fraction form
    409.68/568.30 = 399.12/x
  3. Step 3: Cross multiply
    409.68x = 568.30 × 399.12
  4. Step 4: Simplify right side
    409.68x = 226,819.90
  5. Step 5: Solve for x
    x = 226,819.90/409.68
  6. Step 6: Final answer
    x = 553.65

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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.