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Finding the Fourth Proportional to 842.62, 1,162.86 and 469.64

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Solution

The fourth proportional to 842.62, 1,162.86 and 469.64 is: 648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.62 : 1,162.86 = 469.64 : x
  2. Step 2: Convert to fraction form
    842.62/1,162.86 = 469.64/x
  3. Step 3: Cross multiply
    842.62x = 1,162.86 × 469.64
  4. Step 4: Simplify right side
    842.62x = 546,125.57
  5. Step 5: Solve for x
    x = 546,125.57/842.62
  6. Step 6: Final answer
    x = 648.13

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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.