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Finding the Fourth Proportional to 883.72, 1,322.34 and 745.48

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Solution

The fourth proportional to 883.72, 1,322.34 and 745.48 is: 1,115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.72 : 1,322.34 = 745.48 : x
  2. Step 2: Convert to fraction form
    883.72/1,322.34 = 745.48/x
  3. Step 3: Cross multiply
    883.72x = 1,322.34 × 745.48
  4. Step 4: Simplify right side
    883.72x = 985,778.02
  5. Step 5: Solve for x
    x = 985,778.02/883.72
  6. Step 6: Final answer
    x = 1,115.49

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1.5x scale

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.