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Finding the Fourth Proportional to 606.78, 834.96 and 590.66

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Solution

The fourth proportional to 606.78, 834.96 and 590.66 is: 812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.78 : 834.96 = 590.66 : x
  2. Step 2: Convert to fraction form
    606.78/834.96 = 590.66/x
  3. Step 3: Cross multiply
    606.78x = 834.96 × 590.66
  4. Step 4: Simplify right side
    606.78x = 493,177.47
  5. Step 5: Solve for x
    x = 493,177.47/606.78
  6. Step 6: Final answer
    x = 812.78

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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.