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Finding the Fourth Proportional to 550.62, 760.86 and 426.60

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Solution

The fourth proportional to 550.62, 760.86 and 426.60 is: 589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.62 : 760.86 = 426.60 : x
  2. Step 2: Convert to fraction form
    550.62/760.86 = 426.60/x
  3. Step 3: Cross multiply
    550.62x = 760.86 × 426.60
  4. Step 4: Simplify right side
    550.62x = 324,582.88
  5. Step 5: Solve for x
    x = 324,582.88/550.62
  6. Step 6: Final answer
    x = 589.49

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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.