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Finding the Fourth Proportional to 662.68, 914.08 and 426.94

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Solution

The fourth proportional to 662.68, 914.08 and 426.94 is: 588.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.68 : 914.08 = 426.94 : x
  2. Step 2: Convert to fraction form
    662.68/914.08 = 426.94/x
  3. Step 3: Cross multiply
    662.68x = 914.08 × 426.94
  4. Step 4: Simplify right side
    662.68x = 390,257.32
  5. Step 5: Solve for x
    x = 390,257.32/662.68
  6. Step 6: Final answer
    x = 588.91

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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.