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Finding the Fourth Proportional to 1,163.58, 1,745.94 and 547.26

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Solution

The fourth proportional to 1,163.58, 1,745.94 and 547.26 is: 821.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.58 : 1,745.94 = 547.26 : x
  2. Step 2: Convert to fraction form
    1,163.58/1,745.94 = 547.26/x
  3. Step 3: Cross multiply
    1,163.58x = 1,745.94 × 547.26
  4. Step 4: Simplify right side
    1,163.58x = 955,483.12
  5. Step 5: Solve for x
    x = 955,483.12/1,163.58
  6. Step 6: Final answer
    x = 821.16

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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.