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Finding the Fourth Proportional to 1,126.87, 1,690.34 and 509.85

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Solution

The fourth proportional to 1,126.87, 1,690.34 and 509.85 is: 764.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.87 : 1,690.34 = 509.85 : x
  2. Step 2: Convert to fraction form
    1,126.87/1,690.34 = 509.85/x
  3. Step 3: Cross multiply
    1,126.87x = 1,690.34 × 509.85
  4. Step 4: Simplify right side
    1,126.87x = 861,817.30
  5. Step 5: Solve for x
    x = 861,817.30/1,126.87
  6. Step 6: Final answer
    x = 764.79

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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.