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Finding the Fourth Proportional to 688.07, 949.29 and 422.48

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Solution

The fourth proportional to 688.07, 949.29 and 422.48 is: 582.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.07 : 949.29 = 422.48 : x
  2. Step 2: Convert to fraction form
    688.07/949.29 = 422.48/x
  3. Step 3: Cross multiply
    688.07x = 949.29 × 422.48
  4. Step 4: Simplify right side
    688.07x = 401,056.04
  5. Step 5: Solve for x
    x = 401,056.04/688.07
  6. Step 6: Final answer
    x = 582.87

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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.