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Finding the Fourth Proportional to 578.72, 796.19 and 534.67

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Solution

The fourth proportional to 578.72, 796.19 and 534.67 is: 735.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.72 : 796.19 = 534.67 : x
  2. Step 2: Convert to fraction form
    578.72/796.19 = 534.67/x
  3. Step 3: Cross multiply
    578.72x = 796.19 × 534.67
  4. Step 4: Simplify right side
    578.72x = 425,694.24
  5. Step 5: Solve for x
    x = 425,694.24/578.72
  6. Step 6: Final answer
    x = 735.58

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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.