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Finding the Fourth Proportional to 844.02, 1,264.25 and 550.22

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Solution

The fourth proportional to 844.02, 1,264.25 and 550.22 is: 824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.02 : 1,264.25 = 550.22 : x
  2. Step 2: Convert to fraction form
    844.02/1,264.25 = 550.22/x
  3. Step 3: Cross multiply
    844.02x = 1,264.25 × 550.22
  4. Step 4: Simplify right side
    844.02x = 695,617.69
  5. Step 5: Solve for x
    x = 695,617.69/844.02
  6. Step 6: Final answer
    x = 824.17

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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.