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Finding the Fourth Proportional to 610.95, 843.81 and 414.12

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Solution

The fourth proportional to 610.95, 843.81 and 414.12 is: 571.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.95 : 843.81 = 414.12 : x
  2. Step 2: Convert to fraction form
    610.95/843.81 = 414.12/x
  3. Step 3: Cross multiply
    610.95x = 843.81 × 414.12
  4. Step 4: Simplify right side
    610.95x = 349,440.21
  5. Step 5: Solve for x
    x = 349,440.21/610.95
  6. Step 6: Final answer
    x = 571.96

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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.