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Finding the Fourth Proportional to 842.35, 1,262.86 and 409.39

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Solution

The fourth proportional to 842.35, 1,262.86 and 409.39 is: 613.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.35 : 1,262.86 = 409.39 : x
  2. Step 2: Convert to fraction form
    842.35/1,262.86 = 409.39/x
  3. Step 3: Cross multiply
    842.35x = 1,262.86 × 409.39
  4. Step 4: Simplify right side
    842.35x = 517,002.26
  5. Step 5: Solve for x
    x = 517,002.26/842.35
  6. Step 6: Final answer
    x = 613.76

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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.