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Finding the Fourth Proportional to 578.23, 796.57 and 478

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Solution

The fourth proportional to 578.23, 796.57 and 478 is: 658.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.23 : 796.57 = 478 : x
  2. Step 2: Convert to fraction form
    578.23/796.57 = 478/x
  3. Step 3: Cross multiply
    578.23x = 796.57 × 478
  4. Step 4: Simplify right side
    578.23x = 380,760.46
  5. Step 5: Solve for x
    x = 380,760.46/578.23
  6. Step 6: Final answer
    x = 658.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.