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Finding the Fourth Proportional to 613.25, 846.80 and 513.62

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Solution

The fourth proportional to 613.25, 846.80 and 513.62 is: 709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.25 : 846.80 = 513.62 : x
  2. Step 2: Convert to fraction form
    613.25/846.80 = 513.62/x
  3. Step 3: Cross multiply
    613.25x = 846.80 × 513.62
  4. Step 4: Simplify right side
    613.25x = 434,926.61
  5. Step 5: Solve for x
    x = 434,926.61/613.25
  6. Step 6: Final answer
    x = 709.22

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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.