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Finding the Fourth Proportional to 778.75, 1,168.36 and 505.37

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Solution

The fourth proportional to 778.75, 1,168.36 and 505.37 is: 758.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.75 : 1,168.36 = 505.37 : x
  2. Step 2: Convert to fraction form
    778.75/1,168.36 = 505.37/x
  3. Step 3: Cross multiply
    778.75x = 1,168.36 × 505.37
  4. Step 4: Simplify right side
    778.75x = 590,455.75
  5. Step 5: Solve for x
    x = 590,455.75/778.75
  6. Step 6: Final answer
    x = 758.21

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1.5x scale

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.