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Finding the Fourth Proportional to 426.95, 641.84 and 350.48

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Solution

The fourth proportional to 426.95, 641.84 and 350.48 is: 526.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.95 : 641.84 = 350.48 : x
  2. Step 2: Convert to fraction form
    426.95/641.84 = 350.48/x
  3. Step 3: Cross multiply
    426.95x = 641.84 × 350.48
  4. Step 4: Simplify right side
    426.95x = 224,949.75
  5. Step 5: Solve for x
    x = 224,949.75/426.95
  6. Step 6: Final answer
    x = 526.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.