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Finding the Fourth Proportional to 578.02, 796.98 and 467.15

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Solution

The fourth proportional to 578.02, 796.98 and 467.15 is: 644.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.02 : 796.98 = 467.15 : x
  2. Step 2: Convert to fraction form
    578.02/796.98 = 467.15/x
  3. Step 3: Cross multiply
    578.02x = 796.98 × 467.15
  4. Step 4: Simplify right side
    578.02x = 372,309.96
  5. Step 5: Solve for x
    x = 372,309.96/578.02
  6. Step 6: Final answer
    x = 644.12

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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.