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Finding the Fourth Proportional to 426.59, 639.32 and 414.12

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Solution

The fourth proportional to 426.59, 639.32 and 414.12 is: 620.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.59 : 639.32 = 414.12 : x
  2. Step 2: Convert to fraction form
    426.59/639.32 = 414.12/x
  3. Step 3: Cross multiply
    426.59x = 639.32 × 414.12
  4. Step 4: Simplify right side
    426.59x = 264,753.13
  5. Step 5: Solve for x
    x = 264,753.13/426.59
  6. Step 6: Final answer
    x = 620.63

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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.