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Finding the Fourth Proportional to 578.58, 867.54 and 396.19

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Solution

The fourth proportional to 578.58, 867.54 and 396.19 is: 594.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.58 : 867.54 = 396.19 : x
  2. Step 2: Convert to fraction form
    578.58/867.54 = 396.19/x
  3. Step 3: Cross multiply
    578.58x = 867.54 × 396.19
  4. Step 4: Simplify right side
    578.58x = 343,713.24
  5. Step 5: Solve for x
    x = 343,713.24/578.58
  6. Step 6: Final answer
    x = 594.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.