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Finding the Fourth Proportional to 1,163.81, 1,745.72 and 394.25

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Solution

The fourth proportional to 1,163.81, 1,745.72 and 394.25 is: 591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.81 : 1,745.72 = 394.25 : x
  2. Step 2: Convert to fraction form
    1,163.81/1,745.72 = 394.25/x
  3. Step 3: Cross multiply
    1,163.81x = 1,745.72 × 394.25
  4. Step 4: Simplify right side
    1,163.81x = 688,248.14
  5. Step 5: Solve for x
    x = 688,248.14/1,163.81
  6. Step 6: Final answer
    x = 591.38

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Double scale
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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.