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Finding the Fourth Proportional to 662.67, 913.86 and 426.39

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Solution

The fourth proportional to 662.67, 913.86 and 426.39 is: 588.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.67 : 913.86 = 426.39 : x
  2. Step 2: Convert to fraction form
    662.67/913.86 = 426.39/x
  3. Step 3: Cross multiply
    662.67x = 913.86 × 426.39
  4. Step 4: Simplify right side
    662.67x = 389,660.77
  5. Step 5: Solve for x
    x = 389,660.77/662.67
  6. Step 6: Final answer
    x = 588.02

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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.