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Finding the Fourth Proportional to 578.50, 867.92 and 480.56

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Solution

The fourth proportional to 578.50, 867.92 and 480.56 is: 720.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.50 : 867.92 = 480.56 : x
  2. Step 2: Convert to fraction form
    578.50/867.92 = 480.56/x
  3. Step 3: Cross multiply
    578.50x = 867.92 × 480.56
  4. Step 4: Simplify right side
    578.50x = 417,080.89
  5. Step 5: Solve for x
    x = 417,080.89/578.50
  6. Step 6: Final answer
    x = 720.97

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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.