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Finding the Fourth Proportional to 614.69, 843.26 and 598.54

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Solution

The fourth proportional to 614.69, 843.26 and 598.54 is: 821.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.69 : 843.26 = 598.54 : x
  2. Step 2: Convert to fraction form
    614.69/843.26 = 598.54/x
  3. Step 3: Cross multiply
    614.69x = 843.26 × 598.54
  4. Step 4: Simplify right side
    614.69x = 504,724.69
  5. Step 5: Solve for x
    x = 504,724.69/614.69
  6. Step 6: Final answer
    x = 821.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.