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Finding the Fourth Proportional to 611.58, 843.16 and 414.75

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Solution

The fourth proportional to 611.58, 843.16 and 414.75 is: 571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.58 : 843.16 = 414.75 : x
  2. Step 2: Convert to fraction form
    611.58/843.16 = 414.75/x
  3. Step 3: Cross multiply
    611.58x = 843.16 × 414.75
  4. Step 4: Simplify right side
    611.58x = 349,703.51
  5. Step 5: Solve for x
    x = 349,703.51/611.58
  6. Step 6: Final answer
    x = 571.80

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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.