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Finding the Fourth Proportional to 1,163.56, 1,745.50 and 394.28

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Solution

The fourth proportional to 1,163.56, 1,745.50 and 394.28 is: 591.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.56 : 1,745.50 = 394.28 : x
  2. Step 2: Convert to fraction form
    1,163.56/1,745.50 = 394.28/x
  3. Step 3: Cross multiply
    1,163.56x = 1,745.50 × 394.28
  4. Step 4: Simplify right side
    1,163.56x = 688,215.74
  5. Step 5: Solve for x
    x = 688,215.74/1,163.56
  6. Step 6: Final answer
    x = 591.47

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Half scale
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Double scale
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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.