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Finding the Fourth Proportional to 688.41, 949.97 and 408.63

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Solution

The fourth proportional to 688.41, 949.97 and 408.63 is: 563.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.41 : 949.97 = 408.63 : x
  2. Step 2: Convert to fraction form
    688.41/949.97 = 408.63/x
  3. Step 3: Cross multiply
    688.41x = 949.97 × 408.63
  4. Step 4: Simplify right side
    688.41x = 388,184.20
  5. Step 5: Solve for x
    x = 388,184.20/688.41
  6. Step 6: Final answer
    x = 563.89

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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.