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Finding the Fourth Proportional to 426.87, 585.93 and 379.19

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Solution

The fourth proportional to 426.87, 585.93 and 379.19 is: 520.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.87 : 585.93 = 379.19 : x
  2. Step 2: Convert to fraction form
    426.87/585.93 = 379.19/x
  3. Step 3: Cross multiply
    426.87x = 585.93 × 379.19
  4. Step 4: Simplify right side
    426.87x = 222,178.80
  5. Step 5: Solve for x
    x = 222,178.80/426.87
  6. Step 6: Final answer
    x = 520.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.