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Finding the Fourth Proportional to 745.26, 1,117.80 and 197.37

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Solution

The fourth proportional to 745.26, 1,117.80 and 197.37 is: 296.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.26 : 1,117.80 = 197.37 : x
  2. Step 2: Convert to fraction form
    745.26/1,117.80 = 197.37/x
  3. Step 3: Cross multiply
    745.26x = 1,117.80 × 197.37
  4. Step 4: Simplify right side
    745.26x = 220,620.19
  5. Step 5: Solve for x
    x = 220,620.19/745.26
  6. Step 6: Final answer
    x = 296.03

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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.