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Finding the Fourth Proportional to 550.74, 759.54 and 340.89

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Solution

The fourth proportional to 550.74, 759.54 and 340.89 is: 470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.74 : 759.54 = 340.89 : x
  2. Step 2: Convert to fraction form
    550.74/759.54 = 340.89/x
  3. Step 3: Cross multiply
    550.74x = 759.54 × 340.89
  4. Step 4: Simplify right side
    550.74x = 258,919.59
  5. Step 5: Solve for x
    x = 258,919.59/550.74
  6. Step 6: Final answer
    x = 470.13

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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.