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Finding the Fourth Proportional to 842.83, 1,163.07 and 469.78

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Solution

The fourth proportional to 842.83, 1,163.07 and 469.78 is: 648.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.83 : 1,163.07 = 469.78 : x
  2. Step 2: Convert to fraction form
    842.83/1,163.07 = 469.78/x
  3. Step 3: Cross multiply
    842.83x = 1,163.07 × 469.78
  4. Step 4: Simplify right side
    842.83x = 546,387.02
  5. Step 5: Solve for x
    x = 546,387.02/842.83
  6. Step 6: Final answer
    x = 648.28

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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.