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Finding the Fourth Proportional to 688.56, 950.26 and 378.08

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Solution

The fourth proportional to 688.56, 950.26 and 378.08 is: 521.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.56 : 950.26 = 378.08 : x
  2. Step 2: Convert to fraction form
    688.56/950.26 = 378.08/x
  3. Step 3: Cross multiply
    688.56x = 950.26 × 378.08
  4. Step 4: Simplify right side
    688.56x = 359,274.30
  5. Step 5: Solve for x
    x = 359,274.30/688.56
  6. Step 6: Final answer
    x = 521.78

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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.