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Finding the Fourth Proportional to 606.74, 834.60 and 500.12

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Solution

The fourth proportional to 606.74, 834.60 and 500.12 is: 687.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.74 : 834.60 = 500.12 : x
  2. Step 2: Convert to fraction form
    606.74/834.60 = 500.12/x
  3. Step 3: Cross multiply
    606.74x = 834.60 × 500.12
  4. Step 4: Simplify right side
    606.74x = 417,400.15
  5. Step 5: Solve for x
    x = 417,400.15/606.74
  6. Step 6: Final answer
    x = 687.94

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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.