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Finding the Fourth Proportional to 843.10, 1,163.44 and 470.07

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Solution

The fourth proportional to 843.10, 1,163.44 and 470.07 is: 648.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.10 : 1,163.44 = 470.07 : x
  2. Step 2: Convert to fraction form
    843.10/1,163.44 = 470.07/x
  3. Step 3: Cross multiply
    843.10x = 1,163.44 × 470.07
  4. Step 4: Simplify right side
    843.10x = 546,898.24
  5. Step 5: Solve for x
    x = 546,898.24/843.10
  6. Step 6: Final answer
    x = 648.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.