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Finding the Fourth Proportional to 775.34, 1,163.01 and 342.20

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Solution

The fourth proportional to 775.34, 1,163.01 and 342.20 is: 513.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.34 : 1,163.01 = 342.20 : x
  2. Step 2: Convert to fraction form
    775.34/1,163.01 = 342.20/x
  3. Step 3: Cross multiply
    775.34x = 1,163.01 × 342.20
  4. Step 4: Simplify right side
    775.34x = 397,976.21
  5. Step 5: Solve for x
    x = 397,976.21/775.34
  6. Step 6: Final answer
    x = 513.30

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Double scale
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Similar ratio
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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.