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Finding the Fourth Proportional to 613.57, 850.05 and 598.54

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Solution

The fourth proportional to 613.57, 850.05 and 598.54 is: 829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.57 : 850.05 = 598.54 : x
  2. Step 2: Convert to fraction form
    613.57/850.05 = 598.54/x
  3. Step 3: Cross multiply
    613.57x = 850.05 × 598.54
  4. Step 4: Simplify right side
    613.57x = 508,788.93
  5. Step 5: Solve for x
    x = 508,788.93/613.57
  6. Step 6: Final answer
    x = 829.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.