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Finding the Fourth Proportional to 578.44, 797.30 and 447.40

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Solution

The fourth proportional to 578.44, 797.30 and 447.40 is: 616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.44 : 797.30 = 447.40 : x
  2. Step 2: Convert to fraction form
    578.44/797.30 = 447.40/x
  3. Step 3: Cross multiply
    578.44x = 797.30 × 447.40
  4. Step 4: Simplify right side
    578.44x = 356,712.02
  5. Step 5: Solve for x
    x = 356,712.02/578.44
  6. Step 6: Final answer
    x = 616.68

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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.