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Finding the Fourth Proportional to 606.54, 842.64 and 600.83

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Solution

The fourth proportional to 606.54, 842.64 and 600.83 is: 834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.54 : 842.64 = 600.83 : x
  2. Step 2: Convert to fraction form
    606.54/842.64 = 600.83/x
  3. Step 3: Cross multiply
    606.54x = 842.64 × 600.83
  4. Step 4: Simplify right side
    606.54x = 506,284.82
  5. Step 5: Solve for x
    x = 506,284.82/606.54
  6. Step 6: Final answer
    x = 834.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.