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Finding the Fourth Proportional to 606.74, 908.95 and 410.78

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Solution

The fourth proportional to 606.74, 908.95 and 410.78 is: 615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.74 : 908.95 = 410.78 : x
  2. Step 2: Convert to fraction form
    606.74/908.95 = 410.78/x
  3. Step 3: Cross multiply
    606.74x = 908.95 × 410.78
  4. Step 4: Simplify right side
    606.74x = 373,372.91
  5. Step 5: Solve for x
    x = 373,372.91/606.74
  6. Step 6: Final answer
    x = 615.38

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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.