Home / 1,289.25-1,933.77-509.22

Finding the Fourth Proportional to 1,289.25, 1,933.77 and 509.22

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Solution

The fourth proportional to 1,289.25, 1,933.77 and 509.22 is: 763.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.25 : 1,933.77 = 509.22 : x
  2. Step 2: Convert to fraction form
    1,289.25/1,933.77 = 509.22/x
  3. Step 3: Cross multiply
    1,289.25x = 1,933.77 × 509.22
  4. Step 4: Simplify right side
    1,289.25x = 984,714.36
  5. Step 5: Solve for x
    x = 984,714.36/1,289.25
  6. Step 6: Final answer
    x = 763.79

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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.