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Finding the Fourth Proportional to 613.30, 846.26 and 392.09

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Solution

The fourth proportional to 613.30, 846.26 and 392.09 is: 541.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.30 : 846.26 = 392.09 : x
  2. Step 2: Convert to fraction form
    613.30/846.26 = 392.09/x
  3. Step 3: Cross multiply
    613.30x = 846.26 × 392.09
  4. Step 4: Simplify right side
    613.30x = 331,805.85
  5. Step 5: Solve for x
    x = 331,805.85/613.30
  6. Step 6: Final answer
    x = 541.02

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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.