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Finding the Fourth Proportional to 688.31, 950.06 and 408.65

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Solution

The fourth proportional to 688.31, 950.06 and 408.65 is: 564.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.31 : 950.06 = 408.65 : x
  2. Step 2: Convert to fraction form
    688.31/950.06 = 408.65/x
  3. Step 3: Cross multiply
    688.31x = 950.06 × 408.65
  4. Step 4: Simplify right side
    688.31x = 388,246.24
  5. Step 5: Solve for x
    x = 388,246.24/688.31
  6. Step 6: Final answer
    x = 564.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.