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Finding the Fourth Proportional to 425.87, 584.56 and 378.19

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Solution

The fourth proportional to 425.87, 584.56 and 378.19 is: 519.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.87 : 584.56 = 378.19 : x
  2. Step 2: Convert to fraction form
    425.87/584.56 = 378.19/x
  3. Step 3: Cross multiply
    425.87x = 584.56 × 378.19
  4. Step 4: Simplify right side
    425.87x = 221,074.75
  5. Step 5: Solve for x
    x = 221,074.75/425.87
  6. Step 6: Final answer
    x = 519.11

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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.