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Finding the Fourth Proportional to 550.89, 760.46 and 354.47

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Solution

The fourth proportional to 550.89, 760.46 and 354.47 is: 489.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.89 : 760.46 = 354.47 : x
  2. Step 2: Convert to fraction form
    550.89/760.46 = 354.47/x
  3. Step 3: Cross multiply
    550.89x = 760.46 × 354.47
  4. Step 4: Simplify right side
    550.89x = 269,554.68
  5. Step 5: Solve for x
    x = 269,554.68/550.89
  6. Step 6: Final answer
    x = 489.31

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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.