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Finding the Fourth Proportional to 550.68, 759.93 and 354.19

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Solution

The fourth proportional to 550.68, 759.93 and 354.19 is: 488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.68 : 759.93 = 354.19 : x
  2. Step 2: Convert to fraction form
    550.68/759.93 = 354.19/x
  3. Step 3: Cross multiply
    550.68x = 759.93 × 354.19
  4. Step 4: Simplify right side
    550.68x = 269,159.16
  5. Step 5: Solve for x
    x = 269,159.16/550.68
  6. Step 6: Final answer
    x = 488.78

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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.