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Finding the Fourth Proportional to 550.69, 760.47 and 354.55

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Solution

The fourth proportional to 550.69, 760.47 and 354.55 is: 489.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.69 : 760.47 = 354.55 : x
  2. Step 2: Convert to fraction form
    550.69/760.47 = 354.55/x
  3. Step 3: Cross multiply
    550.69x = 760.47 × 354.55
  4. Step 4: Simplify right side
    550.69x = 269,619.06
  5. Step 5: Solve for x
    x = 269,619.06/550.69
  6. Step 6: Final answer
    x = 489.60

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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.