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Finding the Fourth Proportional to 1,289.69, 1,934.94 and 509.66

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Solution

The fourth proportional to 1,289.69, 1,934.94 and 509.66 is: 764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.69 : 1,934.94 = 509.66 : x
  2. Step 2: Convert to fraction form
    1,289.69/1,934.94 = 509.66/x
  3. Step 3: Cross multiply
    1,289.69x = 1,934.94 × 509.66
  4. Step 4: Simplify right side
    1,289.69x = 986,161.52
  5. Step 5: Solve for x
    x = 986,161.52/1,289.69
  6. Step 6: Final answer
    x = 764.65

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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.