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Finding the Fourth Proportional to 409, 608.69 and 399.88

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Solution

The fourth proportional to 409, 608.69 and 399.88 is: 595.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    409 : 608.69 = 399.88 : x
  2. Step 2: Convert to fraction form
    409/608.69 = 399.88/x
  3. Step 3: Cross multiply
    409x = 608.69 × 399.88
  4. Step 4: Simplify right side
    409x = 243,402.96
  5. Step 5: Solve for x
    x = 243,402.96/409
  6. Step 6: Final answer
    x = 595.12

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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.