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Finding the Fourth Proportional to 1,195.26, 1,792.20 and 545.37

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Solution

The fourth proportional to 1,195.26, 1,792.20 and 545.37 is: 817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.26 : 1,792.20 = 545.37 : x
  2. Step 2: Convert to fraction form
    1,195.26/1,792.20 = 545.37/x
  3. Step 3: Cross multiply
    1,195.26x = 1,792.20 × 545.37
  4. Step 4: Simplify right side
    1,195.26x = 977,412.11
  5. Step 5: Solve for x
    x = 977,412.11/1,195.26
  6. Step 6: Final answer
    x = 817.74

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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.