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Finding the Fourth Proportional to 551.66, 759.86 and 523.85

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Solution

The fourth proportional to 551.66, 759.86 and 523.85 is: 721.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.66 : 759.86 = 523.85 : x
  2. Step 2: Convert to fraction form
    551.66/759.86 = 523.85/x
  3. Step 3: Cross multiply
    551.66x = 759.86 × 523.85
  4. Step 4: Simplify right side
    551.66x = 398,052.66
  5. Step 5: Solve for x
    x = 398,052.66/551.66
  6. Step 6: Final answer
    x = 721.55

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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.