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Finding the Fourth Proportional to 769.83, 1,153.57 and 573.90

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Solution

The fourth proportional to 769.83, 1,153.57 and 573.90 is: 859.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.83 : 1,153.57 = 573.90 : x
  2. Step 2: Convert to fraction form
    769.83/1,153.57 = 573.90/x
  3. Step 3: Cross multiply
    769.83x = 1,153.57 × 573.90
  4. Step 4: Simplify right side
    769.83x = 662,033.82
  5. Step 5: Solve for x
    x = 662,033.82/769.83
  6. Step 6: Final answer
    x = 859.97

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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.