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Finding the Fourth Proportional to 658.33, 908.56 and 419.03

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Solution

The fourth proportional to 658.33, 908.56 and 419.03 is: 578.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.33 : 908.56 = 419.03 : x
  2. Step 2: Convert to fraction form
    658.33/908.56 = 419.03/x
  3. Step 3: Cross multiply
    658.33x = 908.56 × 419.03
  4. Step 4: Simplify right side
    658.33x = 380,713.90
  5. Step 5: Solve for x
    x = 380,713.90/658.33
  6. Step 6: Final answer
    x = 578.30

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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.