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Finding the Fourth Proportional to 769.91, 1,155.20 and 404.61

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Solution

The fourth proportional to 769.91, 1,155.20 and 404.61 is: 607.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.91 : 1,155.20 = 404.61 : x
  2. Step 2: Convert to fraction form
    769.91/1,155.20 = 404.61/x
  3. Step 3: Cross multiply
    769.91x = 1,155.20 × 404.61
  4. Step 4: Simplify right side
    769.91x = 467,405.47
  5. Step 5: Solve for x
    x = 467,405.47/769.91
  6. Step 6: Final answer
    x = 607.09

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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.