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Finding the Fourth Proportional to 613.11, 843.61 and 598.53

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Solution

The fourth proportional to 613.11, 843.61 and 598.53 is: 823.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.11 : 843.61 = 598.53 : x
  2. Step 2: Convert to fraction form
    613.11/843.61 = 598.53/x
  3. Step 3: Cross multiply
    613.11x = 843.61 × 598.53
  4. Step 4: Simplify right side
    613.11x = 504,925.89
  5. Step 5: Solve for x
    x = 504,925.89/613.11
  6. Step 6: Final answer
    x = 823.55

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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.