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Finding the Fourth Proportional to 613.52, 847.40 and 447.47

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Solution

The fourth proportional to 613.52, 847.40 and 447.47 is: 618.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.52 : 847.40 = 447.47 : x
  2. Step 2: Convert to fraction form
    613.52/847.40 = 447.47/x
  3. Step 3: Cross multiply
    613.52x = 847.40 × 447.47
  4. Step 4: Simplify right side
    613.52x = 379,183.84
  5. Step 5: Solve for x
    x = 379,183.84/613.52
  6. Step 6: Final answer
    x = 618.05

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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.