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Finding the Fourth Proportional to 606.59, 835.62 and 419.74

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Solution

The fourth proportional to 606.59, 835.62 and 419.74 is: 578.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.59 : 835.62 = 419.74 : x
  2. Step 2: Convert to fraction form
    606.59/835.62 = 419.74/x
  3. Step 3: Cross multiply
    606.59x = 835.62 × 419.74
  4. Step 4: Simplify right side
    606.59x = 350,745.35
  5. Step 5: Solve for x
    x = 350,745.35/606.59
  6. Step 6: Final answer
    x = 578.23

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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.