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Finding the Fourth Proportional to 1,289.65, 1,933.17 and 509.34

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Solution

The fourth proportional to 1,289.65, 1,933.17 and 509.34 is: 763.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.65 : 1,933.17 = 509.34 : x
  2. Step 2: Convert to fraction form
    1,289.65/1,933.17 = 509.34/x
  3. Step 3: Cross multiply
    1,289.65x = 1,933.17 × 509.34
  4. Step 4: Simplify right side
    1,289.65x = 984,635.27
  5. Step 5: Solve for x
    x = 984,635.27/1,289.65
  6. Step 6: Final answer
    x = 763.49

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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.