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Finding the Fourth Proportional to 493.25, 678.98 and 426.83

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Solution

The fourth proportional to 493.25, 678.98 and 426.83 is: 587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.25 : 678.98 = 426.83 : x
  2. Step 2: Convert to fraction form
    493.25/678.98 = 426.83/x
  3. Step 3: Cross multiply
    493.25x = 678.98 × 426.83
  4. Step 4: Simplify right side
    493.25x = 289,809.03
  5. Step 5: Solve for x
    x = 289,809.03/493.25
  6. Step 6: Final answer
    x = 587.55

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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.