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Finding the Fourth Proportional to 550.61, 759.84 and 311.32

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Solution

The fourth proportional to 550.61, 759.84 and 311.32 is: 429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.61 : 759.84 = 311.32 : x
  2. Step 2: Convert to fraction form
    550.61/759.84 = 311.32/x
  3. Step 3: Cross multiply
    550.61x = 759.84 × 311.32
  4. Step 4: Simplify right side
    550.61x = 236,550.32
  5. Step 5: Solve for x
    x = 236,550.32/550.61
  6. Step 6: Final answer
    x = 429.62

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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.