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Finding the Fourth Proportional to 606.74, 910.71 and 600.80

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Solution

The fourth proportional to 606.74, 910.71 and 600.80 is: 901.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.74 : 910.71 = 600.80 : x
  2. Step 2: Convert to fraction form
    606.74/910.71 = 600.80/x
  3. Step 3: Cross multiply
    606.74x = 910.71 × 600.80
  4. Step 4: Simplify right side
    606.74x = 547,150.01
  5. Step 5: Solve for x
    x = 547,150.01/606.74
  6. Step 6: Final answer
    x = 901.79

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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.