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Finding the Fourth Proportional to 611.13, 843.15 and 414.30

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Solution

The fourth proportional to 611.13, 843.15 and 414.30 is: 571.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.13 : 843.15 = 414.30 : x
  2. Step 2: Convert to fraction form
    611.13/843.15 = 414.30/x
  3. Step 3: Cross multiply
    611.13x = 843.15 × 414.30
  4. Step 4: Simplify right side
    611.13x = 349,317.05
  5. Step 5: Solve for x
    x = 349,317.05/611.13
  6. Step 6: Final answer
    x = 571.59

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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.