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Finding the Fourth Proportional to 837.25, 1,154.82 and 574.81

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Solution

The fourth proportional to 837.25, 1,154.82 and 574.81 is: 792.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.25 : 1,154.82 = 574.81 : x
  2. Step 2: Convert to fraction form
    837.25/1,154.82 = 574.81/x
  3. Step 3: Cross multiply
    837.25x = 1,154.82 × 574.81
  4. Step 4: Simplify right side
    837.25x = 663,796.31
  5. Step 5: Solve for x
    x = 663,796.31/837.25
  6. Step 6: Final answer
    x = 792.83

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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.