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Finding the Fourth Proportional to 921.22, 1,382.16 and 427.86

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Solution

The fourth proportional to 921.22, 1,382.16 and 427.86 is: 641.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.22 : 1,382.16 = 427.86 : x
  2. Step 2: Convert to fraction form
    921.22/1,382.16 = 427.86/x
  3. Step 3: Cross multiply
    921.22x = 1,382.16 × 427.86
  4. Step 4: Simplify right side
    921.22x = 591,370.98
  5. Step 5: Solve for x
    x = 591,370.98/921.22
  6. Step 6: Final answer
    x = 641.94

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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.