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Finding the Fourth Proportional to 609.43, 913.53 and 426.77

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Solution

The fourth proportional to 609.43, 913.53 and 426.77 is: 639.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.43 : 913.53 = 426.77 : x
  2. Step 2: Convert to fraction form
    609.43/913.53 = 426.77/x
  3. Step 3: Cross multiply
    609.43x = 913.53 × 426.77
  4. Step 4: Simplify right side
    609.43x = 389,867.20
  5. Step 5: Solve for x
    x = 389,867.20/609.43
  6. Step 6: Final answer
    x = 639.72

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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.