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Finding the Fourth Proportional to 611.38, 844.39 and 414.55

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Solution

The fourth proportional to 611.38, 844.39 and 414.55 is: 572.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.38 : 844.39 = 414.55 : x
  2. Step 2: Convert to fraction form
    611.38/844.39 = 414.55/x
  3. Step 3: Cross multiply
    611.38x = 844.39 × 414.55
  4. Step 4: Simplify right side
    611.38x = 350,041.87
  5. Step 5: Solve for x
    x = 350,041.87/611.38
  6. Step 6: Final answer
    x = 572.54

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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.