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Finding the Fourth Proportional to 550.47, 759.83 and 364.13

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Solution

The fourth proportional to 550.47, 759.83 and 364.13 is: 502.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.47 : 759.83 = 364.13 : x
  2. Step 2: Convert to fraction form
    550.47/759.83 = 364.13/x
  3. Step 3: Cross multiply
    550.47x = 759.83 × 364.13
  4. Step 4: Simplify right side
    550.47x = 276,671.28
  5. Step 5: Solve for x
    x = 276,671.28/550.47
  6. Step 6: Final answer
    x = 502.61

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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.