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Finding the Fourth Proportional to 611.36, 843.78 and 414.93

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Solution

The fourth proportional to 611.36, 843.78 and 414.93 is: 572.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.36 : 843.78 = 414.93 : x
  2. Step 2: Convert to fraction form
    611.36/843.78 = 414.93/x
  3. Step 3: Cross multiply
    611.36x = 843.78 × 414.93
  4. Step 4: Simplify right side
    611.36x = 350,109.64
  5. Step 5: Solve for x
    x = 350,109.64/611.36
  6. Step 6: Final answer
    x = 572.68

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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.