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Finding the Fourth Proportional to 688.38, 949.96 and 377.88

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Solution

The fourth proportional to 688.38, 949.96 and 377.88 is: 521.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.38 : 949.96 = 377.88 : x
  2. Step 2: Convert to fraction form
    688.38/949.96 = 377.88/x
  3. Step 3: Cross multiply
    688.38x = 949.96 × 377.88
  4. Step 4: Simplify right side
    688.38x = 358,970.88
  5. Step 5: Solve for x
    x = 358,970.88/688.38
  6. Step 6: Final answer
    x = 521.47

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1.5x scale

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.