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Finding the Fourth Proportional to 613.23, 846.39 and 550.95

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Solution

The fourth proportional to 613.23, 846.39 and 550.95 is: 760.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.23 : 846.39 = 550.95 : x
  2. Step 2: Convert to fraction form
    613.23/846.39 = 550.95/x
  3. Step 3: Cross multiply
    613.23x = 846.39 × 550.95
  4. Step 4: Simplify right side
    613.23x = 466,318.57
  5. Step 5: Solve for x
    x = 466,318.57/613.23
  6. Step 6: Final answer
    x = 760.43

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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.