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Finding the Fourth Proportional to 1,122.78, 1,682.85 and 505.76

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Solution

The fourth proportional to 1,122.78, 1,682.85 and 505.76 is: 758.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.78 : 1,682.85 = 505.76 : x
  2. Step 2: Convert to fraction form
    1,122.78/1,682.85 = 505.76/x
  3. Step 3: Cross multiply
    1,122.78x = 1,682.85 × 505.76
  4. Step 4: Simplify right side
    1,122.78x = 851,115.69
  5. Step 5: Solve for x
    x = 851,115.69/1,122.78
  6. Step 6: Final answer
    x = 758.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.