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Finding the Fourth Proportional to 688.28, 949.84 and 377.80

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Solution

The fourth proportional to 688.28, 949.84 and 377.80 is: 521.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.28 : 949.84 = 377.80 : x
  2. Step 2: Convert to fraction form
    688.28/949.84 = 377.80/x
  3. Step 3: Cross multiply
    688.28x = 949.84 × 377.80
  4. Step 4: Simplify right side
    688.28x = 358,849.55
  5. Step 5: Solve for x
    x = 358,849.55/688.28
  6. Step 6: Final answer
    x = 521.37

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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.