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Finding the Fourth Proportional to 688.14, 949.31 and 408.15

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Solution

The fourth proportional to 688.14, 949.31 and 408.15 is: 563.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.14 : 949.31 = 408.15 : x
  2. Step 2: Convert to fraction form
    688.14/949.31 = 408.15/x
  3. Step 3: Cross multiply
    688.14x = 949.31 × 408.15
  4. Step 4: Simplify right side
    688.14x = 387,460.88
  5. Step 5: Solve for x
    x = 387,460.88/688.14
  6. Step 6: Final answer
    x = 563.06

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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.