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Finding the Fourth Proportional to 775.68, 1,163.40 and 255.69

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Solution

The fourth proportional to 775.68, 1,163.40 and 255.69 is: 383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.68 : 1,163.40 = 255.69 : x
  2. Step 2: Convert to fraction form
    775.68/1,163.40 = 255.69/x
  3. Step 3: Cross multiply
    775.68x = 1,163.40 × 255.69
  4. Step 4: Simplify right side
    775.68x = 297,474.77
  5. Step 5: Solve for x
    x = 297,474.77/775.68
  6. Step 6: Final answer
    x = 383.50

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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.