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Finding the Fourth Proportional to 884.39, 1,324.78 and 420.77

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Solution

The fourth proportional to 884.39, 1,324.78 and 420.77 is: 630.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.39 : 1,324.78 = 420.77 : x
  2. Step 2: Convert to fraction form
    884.39/1,324.78 = 420.77/x
  3. Step 3: Cross multiply
    884.39x = 1,324.78 × 420.77
  4. Step 4: Simplify right side
    884.39x = 557,418.95
  5. Step 5: Solve for x
    x = 557,418.95/884.39
  6. Step 6: Final answer
    x = 630.29

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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.