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Finding the Fourth Proportional to 565.36, 843.77 and 550.78

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Solution

The fourth proportional to 565.36, 843.77 and 550.78 is: 822.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.36 : 843.77 = 550.78 : x
  2. Step 2: Convert to fraction form
    565.36/843.77 = 550.78/x
  3. Step 3: Cross multiply
    565.36x = 843.77 × 550.78
  4. Step 4: Simplify right side
    565.36x = 464,731.64
  5. Step 5: Solve for x
    x = 464,731.64/565.36
  6. Step 6: Final answer
    x = 822.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.