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Finding the Fourth Proportional to 769.14, 1,155.87 and 579.06

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Solution

The fourth proportional to 769.14, 1,155.87 and 579.06 is: 870.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.14 : 1,155.87 = 579.06 : x
  2. Step 2: Convert to fraction form
    769.14/1,155.87 = 579.06/x
  3. Step 3: Cross multiply
    769.14x = 1,155.87 × 579.06
  4. Step 4: Simplify right side
    769.14x = 669,318.08
  5. Step 5: Solve for x
    x = 669,318.08/769.14
  6. Step 6: Final answer
    x = 870.22

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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.