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Finding the Fourth Proportional to 769.65, 1,155.56 and 445.38

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Solution

The fourth proportional to 769.65, 1,155.56 and 445.38 is: 668.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.65 : 1,155.56 = 445.38 : x
  2. Step 2: Convert to fraction form
    769.65/1,155.56 = 445.38/x
  3. Step 3: Cross multiply
    769.65x = 1,155.56 × 445.38
  4. Step 4: Simplify right side
    769.65x = 514,661.09
  5. Step 5: Solve for x
    x = 514,661.09/769.65
  6. Step 6: Final answer
    x = 668.69

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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.