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Finding the Fourth Proportional to 778.56, 1,075.81 and 557.12

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Solution

The fourth proportional to 778.56, 1,075.81 and 557.12 is: 769.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.56 : 1,075.81 = 557.12 : x
  2. Step 2: Convert to fraction form
    778.56/1,075.81 = 557.12/x
  3. Step 3: Cross multiply
    778.56x = 1,075.81 × 557.12
  4. Step 4: Simplify right side
    778.56x = 599,355.27
  5. Step 5: Solve for x
    x = 599,355.27/778.56
  6. Step 6: Final answer
    x = 769.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.