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Finding the Fourth Proportional to 637.67, 958.10 and 406.65

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Solution

The fourth proportional to 637.67, 958.10 and 406.65 is: 610.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.67 : 958.10 = 406.65 : x
  2. Step 2: Convert to fraction form
    637.67/958.10 = 406.65/x
  3. Step 3: Cross multiply
    637.67x = 958.10 × 406.65
  4. Step 4: Simplify right side
    637.67x = 389,612.92
  5. Step 5: Solve for x
    x = 389,612.92/637.67
  6. Step 6: Final answer
    x = 610.99

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