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Finding the Fourth Proportional to 578.64, 868 and 335.44

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Solution

The fourth proportional to 578.64, 868 and 335.44 is: 503.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.64 : 868 = 335.44 : x
  2. Step 2: Convert to fraction form
    578.64/868 = 335.44/x
  3. Step 3: Cross multiply
    578.64x = 868 × 335.44
  4. Step 4: Simplify right side
    578.64x = 291,161.92
  5. Step 5: Solve for x
    x = 291,161.92/578.64
  6. Step 6: Final answer
    x = 503.18

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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.