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Finding the Fourth Proportional to 843.13, 1,163.48 and 470.12

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Solution

The fourth proportional to 843.13, 1,163.48 and 470.12 is: 648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.13 : 1,163.48 = 470.12 : x
  2. Step 2: Convert to fraction form
    843.13/1,163.48 = 470.12/x
  3. Step 3: Cross multiply
    843.13x = 1,163.48 × 470.12
  4. Step 4: Simplify right side
    843.13x = 546,975.22
  5. Step 5: Solve for x
    x = 546,975.22/843.13
  6. Step 6: Final answer
    x = 648.74

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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.