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Finding the Fourth Proportional to 1,289.88, 1,933.92 and 509.31

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Solution

The fourth proportional to 1,289.88, 1,933.92 and 509.31 is: 763.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.88 : 1,933.92 = 509.31 : x
  2. Step 2: Convert to fraction form
    1,289.88/1,933.92 = 509.31/x
  3. Step 3: Cross multiply
    1,289.88x = 1,933.92 × 509.31
  4. Step 4: Simplify right side
    1,289.88x = 984,964.80
  5. Step 5: Solve for x
    x = 984,964.80/1,289.88
  6. Step 6: Final answer
    x = 763.61

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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.