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Finding the Fourth Proportional to 838.22, 1,259.69 and 565.92

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Solution

The fourth proportional to 838.22, 1,259.69 and 565.92 is: 850.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.22 : 1,259.69 = 565.92 : x
  2. Step 2: Convert to fraction form
    838.22/1,259.69 = 565.92/x
  3. Step 3: Cross multiply
    838.22x = 1,259.69 × 565.92
  4. Step 4: Simplify right side
    838.22x = 712,880.94
  5. Step 5: Solve for x
    x = 712,880.94/838.22
  6. Step 6: Final answer
    x = 850.48

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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.