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Finding the Fourth Proportional to 578.50, 865.92 and 396.25

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Solution

The fourth proportional to 578.50, 865.92 and 396.25 is: 593.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.50 : 865.92 = 396.25 : x
  2. Step 2: Convert to fraction form
    578.50/865.92 = 396.25/x
  3. Step 3: Cross multiply
    578.50x = 865.92 × 396.25
  4. Step 4: Simplify right side
    578.50x = 343,120.12
  5. Step 5: Solve for x
    x = 343,120.12/578.50
  6. Step 6: Final answer
    x = 593.12

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1.5x scale

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.