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Finding the Fourth Proportional to 566.88, 782.28 and 550.32

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Solution

The fourth proportional to 566.88, 782.28 and 550.32 is: 759.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.88 : 782.28 = 550.32 : x
  2. Step 2: Convert to fraction form
    566.88/782.28 = 550.32/x
  3. Step 3: Cross multiply
    566.88x = 782.28 × 550.32
  4. Step 4: Simplify right side
    566.88x = 430,504.33
  5. Step 5: Solve for x
    x = 430,504.33/566.88
  6. Step 6: Final answer
    x = 759.43

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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.