Home / 1,289.99-1,933.67-509.49

Finding the Fourth Proportional to 1,289.99, 1,933.67 and 509.49

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Solution

The fourth proportional to 1,289.99, 1,933.67 and 509.49 is: 763.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.99 : 1,933.67 = 509.49 : x
  2. Step 2: Convert to fraction form
    1,289.99/1,933.67 = 509.49/x
  3. Step 3: Cross multiply
    1,289.99x = 1,933.67 × 509.49
  4. Step 4: Simplify right side
    1,289.99x = 985,186.80
  5. Step 5: Solve for x
    x = 985,186.80/1,289.99
  6. Step 6: Final answer
    x = 763.72

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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.