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Finding the Fourth Proportional to 1,289.30, 1,929.16 and 769.59

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Solution

The fourth proportional to 1,289.30, 1,929.16 and 769.59 is: 1,151.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.30 : 1,929.16 = 769.59 : x
  2. Step 2: Convert to fraction form
    1,289.30/1,929.16 = 769.59/x
  3. Step 3: Cross multiply
    1,289.30x = 1,929.16 × 769.59
  4. Step 4: Simplify right side
    1,289.30x = 1,484,662.24
  5. Step 5: Solve for x
    x = 1,484,662.24/1,289.30
  6. Step 6: Final answer
    x = 1,151.53

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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.