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Finding the Fourth Proportional to 613.53, 846.27 and 392.13

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Solution

The fourth proportional to 613.53, 846.27 and 392.13 is: 540.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.53 : 846.27 = 392.13 : x
  2. Step 2: Convert to fraction form
    613.53/846.27 = 392.13/x
  3. Step 3: Cross multiply
    613.53x = 846.27 × 392.13
  4. Step 4: Simplify right side
    613.53x = 331,847.86
  5. Step 5: Solve for x
    x = 331,847.86/613.53
  6. Step 6: Final answer
    x = 540.88

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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.