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Finding the Fourth Proportional to 578.03, 796.91 and 499.05

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Solution

The fourth proportional to 578.03, 796.91 and 499.05 is: 688.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.03 : 796.91 = 499.05 : x
  2. Step 2: Convert to fraction form
    578.03/796.91 = 499.05/x
  3. Step 3: Cross multiply
    578.03x = 796.91 × 499.05
  4. Step 4: Simplify right side
    578.03x = 397,695.44
  5. Step 5: Solve for x
    x = 397,695.44/578.03
  6. Step 6: Final answer
    x = 688.02

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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.