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Finding the Fourth Proportional to 680.38, 939.09 and 414.91

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Solution

The fourth proportional to 680.38, 939.09 and 414.91 is: 572.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.38 : 939.09 = 414.91 : x
  2. Step 2: Convert to fraction form
    680.38/939.09 = 414.91/x
  3. Step 3: Cross multiply
    680.38x = 939.09 × 414.91
  4. Step 4: Simplify right side
    680.38x = 389,637.83
  5. Step 5: Solve for x
    x = 389,637.83/680.38
  6. Step 6: Final answer
    x = 572.68

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1.5x scale

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.