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Finding the Fourth Proportional to 680.14, 937.83 and 575.08

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Solution

The fourth proportional to 680.14, 937.83 and 575.08 is: 792.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.14 : 937.83 = 575.08 : x
  2. Step 2: Convert to fraction form
    680.14/937.83 = 575.08/x
  3. Step 3: Cross multiply
    680.14x = 937.83 × 575.08
  4. Step 4: Simplify right side
    680.14x = 539,327.28
  5. Step 5: Solve for x
    x = 539,327.28/680.14
  6. Step 6: Final answer
    x = 792.97

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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.