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Finding the Fourth Proportional to 884.54, 1,324.88 and 420.90

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Solution

The fourth proportional to 884.54, 1,324.88 and 420.90 is: 630.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.54 : 1,324.88 = 420.90 : x
  2. Step 2: Convert to fraction form
    884.54/1,324.88 = 420.90/x
  3. Step 3: Cross multiply
    884.54x = 1,324.88 × 420.90
  4. Step 4: Simplify right side
    884.54x = 557,639.89
  5. Step 5: Solve for x
    x = 557,639.89/884.54
  6. Step 6: Final answer
    x = 630.43

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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.