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Finding the Fourth Proportional to 613.86, 846.50 and 540.15

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Solution

The fourth proportional to 613.86, 846.50 and 540.15 is: 744.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.86 : 846.50 = 540.15 : x
  2. Step 2: Convert to fraction form
    613.86/846.50 = 540.15/x
  3. Step 3: Cross multiply
    613.86x = 846.50 × 540.15
  4. Step 4: Simplify right side
    613.86x = 457,234.27
  5. Step 5: Solve for x
    x = 457,234.27/613.86
  6. Step 6: Final answer
    x = 744.85

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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.