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Finding the Fourth Proportional to 667.65, 998.88 and 407.61

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Solution

The fourth proportional to 667.65, 998.88 and 407.61 is: 609.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.65 : 998.88 = 407.61 : x
  2. Step 2: Convert to fraction form
    667.65/998.88 = 407.61/x
  3. Step 3: Cross multiply
    667.65x = 998.88 × 407.61
  4. Step 4: Simplify right side
    667.65x = 407,153.48
  5. Step 5: Solve for x
    x = 407,153.48/667.65
  6. Step 6: Final answer
    x = 609.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.