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Finding the Fourth Proportional to 551, 759.50 and 506.86

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Solution

The fourth proportional to 551, 759.50 and 506.86 is: 698.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    551 : 759.50 = 506.86 : x
  2. Step 2: Convert to fraction form
    551/759.50 = 506.86/x
  3. Step 3: Cross multiply
    551x = 759.50 × 506.86
  4. Step 4: Simplify right side
    551x = 384,956.37
  5. Step 5: Solve for x
    x = 384,956.37/551
  6. Step 6: Final answer
    x = 698.65

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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.