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Finding the Fourth Proportional to 565.92, 775.85 and 550.80

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Solution

The fourth proportional to 565.92, 775.85 and 550.80 is: 755.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.92 : 775.85 = 550.80 : x
  2. Step 2: Convert to fraction form
    565.92/775.85 = 550.80/x
  3. Step 3: Cross multiply
    565.92x = 775.85 × 550.80
  4. Step 4: Simplify right side
    565.92x = 427,335.43
  5. Step 5: Solve for x
    x = 427,335.43/565.92
  6. Step 6: Final answer
    x = 755.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.