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Finding the Fourth Proportional to 550.84, 758.49 and 538.69

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Solution

The fourth proportional to 550.84, 758.49 and 538.69 is: 741.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.84 : 758.49 = 538.69 : x
  2. Step 2: Convert to fraction form
    550.84/758.49 = 538.69/x
  3. Step 3: Cross multiply
    550.84x = 758.49 × 538.69
  4. Step 4: Simplify right side
    550.84x = 408,590.98
  5. Step 5: Solve for x
    x = 408,590.98/550.84
  6. Step 6: Final answer
    x = 741.76

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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.