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Finding the Fourth Proportional to 613.22, 845.78 and 416.39

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Solution

The fourth proportional to 613.22, 845.78 and 416.39 is: 574.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.22 : 845.78 = 416.39 : x
  2. Step 2: Convert to fraction form
    613.22/845.78 = 416.39/x
  3. Step 3: Cross multiply
    613.22x = 845.78 × 416.39
  4. Step 4: Simplify right side
    613.22x = 352,168.02
  5. Step 5: Solve for x
    x = 352,168.02/613.22
  6. Step 6: Final answer
    x = 574.30

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1.5x scale

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.