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Finding the Fourth Proportional to 606.93, 908.91 and 519.77

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Solution

The fourth proportional to 606.93, 908.91 and 519.77 is: 778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.93 : 908.91 = 519.77 : x
  2. Step 2: Convert to fraction form
    606.93/908.91 = 519.77/x
  3. Step 3: Cross multiply
    606.93x = 908.91 × 519.77
  4. Step 4: Simplify right side
    606.93x = 472,419.61
  5. Step 5: Solve for x
    x = 472,419.61/606.93
  6. Step 6: Final answer
    x = 778.38

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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.