Home / 1,289.07-1,933.87-509.44

Finding the Fourth Proportional to 1,289.07, 1,933.87 and 509.44

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Solution

The fourth proportional to 1,289.07, 1,933.87 and 509.44 is: 764.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.07 : 1,933.87 = 509.44 : x
  2. Step 2: Convert to fraction form
    1,289.07/1,933.87 = 509.44/x
  3. Step 3: Cross multiply
    1,289.07x = 1,933.87 × 509.44
  4. Step 4: Simplify right side
    1,289.07x = 985,196.46
  5. Step 5: Solve for x
    x = 985,196.46/1,289.07
  6. Step 6: Final answer
    x = 764.27

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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.