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Finding the Fourth Proportional to 613.77, 847.74 and 447.72

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Solution

The fourth proportional to 613.77, 847.74 and 447.72 is: 618.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.77 : 847.74 = 447.72 : x
  2. Step 2: Convert to fraction form
    613.77/847.74 = 447.72/x
  3. Step 3: Cross multiply
    613.77x = 847.74 × 447.72
  4. Step 4: Simplify right side
    613.77x = 379,550.15
  5. Step 5: Solve for x
    x = 379,550.15/613.77
  6. Step 6: Final answer
    x = 618.39

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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.