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Finding the Fourth Proportional to 996.69, 1,497.19 and 842.92

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Solution

The fourth proportional to 996.69, 1,497.19 and 842.92 is: 1,266.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.69 : 1,497.19 = 842.92 : x
  2. Step 2: Convert to fraction form
    996.69/1,497.19 = 842.92/x
  3. Step 3: Cross multiply
    996.69x = 1,497.19 × 842.92
  4. Step 4: Simplify right side
    996.69x = 1,262,011.39
  5. Step 5: Solve for x
    x = 1,262,011.39/996.69
  6. Step 6: Final answer
    x = 1,266.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.