Home / 1,240.26-1,861.01-509.45

Finding the Fourth Proportional to 1,240.26, 1,861.01 and 509.45

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Solution

The fourth proportional to 1,240.26, 1,861.01 and 509.45 is: 764.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.26 : 1,861.01 = 509.45 : x
  2. Step 2: Convert to fraction form
    1,240.26/1,861.01 = 509.45/x
  3. Step 3: Cross multiply
    1,240.26x = 1,861.01 × 509.45
  4. Step 4: Simplify right side
    1,240.26x = 948,079.69
  5. Step 5: Solve for x
    x = 948,079.69/1,240.26
  6. Step 6: Final answer
    x = 764.42

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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.