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Finding the Fourth Proportional to 836.82, 1,153.72 and 574.38

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Solution

The fourth proportional to 836.82, 1,153.72 and 574.38 is: 791.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.82 : 1,153.72 = 574.38 : x
  2. Step 2: Convert to fraction form
    836.82/1,153.72 = 574.38/x
  3. Step 3: Cross multiply
    836.82x = 1,153.72 × 574.38
  4. Step 4: Simplify right side
    836.82x = 662,673.69
  5. Step 5: Solve for x
    x = 662,673.69/836.82
  6. Step 6: Final answer
    x = 791.90

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Double scale
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1.5x scale

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.