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Finding the Fourth Proportional to 842.81, 1,163.05 and 469.81

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Solution

The fourth proportional to 842.81, 1,163.05 and 469.81 is: 648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.81 : 1,163.05 = 469.81 : x
  2. Step 2: Convert to fraction form
    842.81/1,163.05 = 469.81/x
  3. Step 3: Cross multiply
    842.81x = 1,163.05 × 469.81
  4. Step 4: Simplify right side
    842.81x = 546,412.52
  5. Step 5: Solve for x
    x = 546,412.52/842.81
  6. Step 6: Final answer
    x = 648.32

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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.