Home / 1,159.23-1,738.44-509.79

Finding the Fourth Proportional to 1,159.23, 1,738.44 and 509.79

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Solution

The fourth proportional to 1,159.23, 1,738.44 and 509.79 is: 764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.23 : 1,738.44 = 509.79 : x
  2. Step 2: Convert to fraction form
    1,159.23/1,738.44 = 509.79/x
  3. Step 3: Cross multiply
    1,159.23x = 1,738.44 × 509.79
  4. Step 4: Simplify right side
    1,159.23x = 886,239.33
  5. Step 5: Solve for x
    x = 886,239.33/1,159.23
  6. Step 6: Final answer
    x = 764.51

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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.