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Finding the Fourth Proportional to 613.50, 845.30 and 416.66

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Solution

The fourth proportional to 613.50, 845.30 and 416.66 is: 574.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.50 : 845.30 = 416.66 : x
  2. Step 2: Convert to fraction form
    613.50/845.30 = 416.66/x
  3. Step 3: Cross multiply
    613.50x = 845.30 × 416.66
  4. Step 4: Simplify right side
    613.50x = 352,202.70
  5. Step 5: Solve for x
    x = 352,202.70/613.50
  6. Step 6: Final answer
    x = 574.09

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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.