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Finding the Fourth Proportional to 842.68, 1,263.22 and 409.24

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Solution

The fourth proportional to 842.68, 1,263.22 and 409.24 is: 613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.68 : 1,263.22 = 409.24 : x
  2. Step 2: Convert to fraction form
    842.68/1,263.22 = 409.24/x
  3. Step 3: Cross multiply
    842.68x = 1,263.22 × 409.24
  4. Step 4: Simplify right side
    842.68x = 516,960.15
  5. Step 5: Solve for x
    x = 516,960.15/842.68
  6. Step 6: Final answer
    x = 613.47

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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.