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Finding the Fourth Proportional to 745.92, 1,029.37 and 447.22

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Solution

The fourth proportional to 745.92, 1,029.37 and 447.22 is: 617.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.92 : 1,029.37 = 447.22 : x
  2. Step 2: Convert to fraction form
    745.92/1,029.37 = 447.22/x
  3. Step 3: Cross multiply
    745.92x = 1,029.37 × 447.22
  4. Step 4: Simplify right side
    745.92x = 460,355.02
  5. Step 5: Solve for x
    x = 460,355.02/745.92
  6. Step 6: Final answer
    x = 617.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.