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Finding the Fourth Proportional to 613.50, 846.66 and 347.97

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Solution

The fourth proportional to 613.50, 846.66 and 347.97 is: 480.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.50 : 846.66 = 347.97 : x
  2. Step 2: Convert to fraction form
    613.50/846.66 = 347.97/x
  3. Step 3: Cross multiply
    613.50x = 846.66 × 347.97
  4. Step 4: Simplify right side
    613.50x = 294,612.28
  5. Step 5: Solve for x
    x = 294,612.28/613.50
  6. Step 6: Final answer
    x = 480.22

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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.