Home / 1,163.10-1,743.17-545.45

Finding the Fourth Proportional to 1,163.10, 1,743.17 and 545.45

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Solution

The fourth proportional to 1,163.10, 1,743.17 and 545.45 is: 817.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.10 : 1,743.17 = 545.45 : x
  2. Step 2: Convert to fraction form
    1,163.10/1,743.17 = 545.45/x
  3. Step 3: Cross multiply
    1,163.10x = 1,743.17 × 545.45
  4. Step 4: Simplify right side
    1,163.10x = 950,800.63
  5. Step 5: Solve for x
    x = 950,800.63/1,163.10
  6. Step 6: Final answer
    x = 817.47

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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.