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Finding the Fourth Proportional to 688.78, 950.30 and 422.94

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Solution

The fourth proportional to 688.78, 950.30 and 422.94 is: 583.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.78 : 950.30 = 422.94 : x
  2. Step 2: Convert to fraction form
    688.78/950.30 = 422.94/x
  3. Step 3: Cross multiply
    688.78x = 950.30 × 422.94
  4. Step 4: Simplify right side
    688.78x = 401,917.77
  5. Step 5: Solve for x
    x = 401,917.77/688.78
  6. Step 6: Final answer
    x = 583.53

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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.