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Finding the Fourth Proportional to 843.37, 1,163.87 and 470.36

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Solution

The fourth proportional to 843.37, 1,163.87 and 470.36 is: 649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.37 : 1,163.87 = 470.36 : x
  2. Step 2: Convert to fraction form
    843.37/1,163.87 = 470.36/x
  3. Step 3: Cross multiply
    843.37x = 1,163.87 × 470.36
  4. Step 4: Simplify right side
    843.37x = 547,435.54
  5. Step 5: Solve for x
    x = 547,435.54/843.37
  6. Step 6: Final answer
    x = 649.11

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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.