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Finding the Fourth Proportional to 606.48, 908.73 and 424.08

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Solution

The fourth proportional to 606.48, 908.73 and 424.08 is: 635.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.48 : 908.73 = 424.08 : x
  2. Step 2: Convert to fraction form
    606.48/908.73 = 424.08/x
  3. Step 3: Cross multiply
    606.48x = 908.73 × 424.08
  4. Step 4: Simplify right side
    606.48x = 385,374.22
  5. Step 5: Solve for x
    x = 385,374.22/606.48
  6. Step 6: Final answer
    x = 635.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.