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Finding the Fourth Proportional to 842.93, 1,163.19 and 469.88

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Solution

The fourth proportional to 842.93, 1,163.19 and 469.88 is: 648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.93 : 1,163.19 = 469.88 : x
  2. Step 2: Convert to fraction form
    842.93/1,163.19 = 469.88/x
  3. Step 3: Cross multiply
    842.93x = 1,163.19 × 469.88
  4. Step 4: Simplify right side
    842.93x = 546,559.72
  5. Step 5: Solve for x
    x = 546,559.72/842.93
  6. Step 6: Final answer
    x = 648.40

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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.