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Finding the Fourth Proportional to 606.61, 908.97 and 411.40

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Solution

The fourth proportional to 606.61, 908.97 and 411.40 is: 616.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.61 : 908.97 = 411.40 : x
  2. Step 2: Convert to fraction form
    606.61/908.97 = 411.40/x
  3. Step 3: Cross multiply
    606.61x = 908.97 × 411.40
  4. Step 4: Simplify right side
    606.61x = 373,950.26
  5. Step 5: Solve for x
    x = 373,950.26/606.61
  6. Step 6: Final answer
    x = 616.46

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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.