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Finding the Fourth Proportional to 550.20, 761.22 and 467.04

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Solution

The fourth proportional to 550.20, 761.22 and 467.04 is: 646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.20 : 761.22 = 467.04 : x
  2. Step 2: Convert to fraction form
    550.20/761.22 = 467.04/x
  3. Step 3: Cross multiply
    550.20x = 761.22 × 467.04
  4. Step 4: Simplify right side
    550.20x = 355,520.19
  5. Step 5: Solve for x
    x = 355,520.19/550.20
  6. Step 6: Final answer
    x = 646.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.