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Finding the Fourth Proportional to 613.41, 845.06 and 519.86

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Solution

The fourth proportional to 613.41, 845.06 and 519.86 is: 716.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.41 : 845.06 = 519.86 : x
  2. Step 2: Convert to fraction form
    613.41/845.06 = 519.86/x
  3. Step 3: Cross multiply
    613.41x = 845.06 × 519.86
  4. Step 4: Simplify right side
    613.41x = 439,306.07
  5. Step 5: Solve for x
    x = 439,306.07/613.41
  6. Step 6: Final answer
    x = 716.17

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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.