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Finding the Fourth Proportional to 611.22, 842.82 and 414.39

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Solution

The fourth proportional to 611.22, 842.82 and 414.39 is: 571.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.22 : 842.82 = 414.39 : x
  2. Step 2: Convert to fraction form
    611.22/842.82 = 414.39/x
  3. Step 3: Cross multiply
    611.22x = 842.82 × 414.39
  4. Step 4: Simplify right side
    611.22x = 349,256.18
  5. Step 5: Solve for x
    x = 349,256.18/611.22
  6. Step 6: Final answer
    x = 571.41

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1.5x scale

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.