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Finding the Fourth Proportional to 613.10, 846.19 and 392.05

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Solution

The fourth proportional to 613.10, 846.19 and 392.05 is: 541.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.10 : 846.19 = 392.05 : x
  2. Step 2: Convert to fraction form
    613.10/846.19 = 392.05/x
  3. Step 3: Cross multiply
    613.10x = 846.19 × 392.05
  4. Step 4: Simplify right side
    613.10x = 331,745.58
  5. Step 5: Solve for x
    x = 331,745.58/613.10
  6. Step 6: Final answer
    x = 541.09

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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.