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Finding the Fourth Proportional to 558.62, 834.72 and 426.12

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Solution

The fourth proportional to 558.62, 834.72 and 426.12 is: 636.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.62 : 834.72 = 426.12 : x
  2. Step 2: Convert to fraction form
    558.62/834.72 = 426.12/x
  3. Step 3: Cross multiply
    558.62x = 834.72 × 426.12
  4. Step 4: Simplify right side
    558.62x = 355,690.89
  5. Step 5: Solve for x
    x = 355,690.89/558.62
  6. Step 6: Final answer
    x = 636.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.