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Finding the Fourth Proportional to 884.95, 1,327.39 and 423.05

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Solution

The fourth proportional to 884.95, 1,327.39 and 423.05 is: 634.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.95 : 1,327.39 = 423.05 : x
  2. Step 2: Convert to fraction form
    884.95/1,327.39 = 423.05/x
  3. Step 3: Cross multiply
    884.95x = 1,327.39 × 423.05
  4. Step 4: Simplify right side
    884.95x = 561,552.34
  5. Step 5: Solve for x
    x = 561,552.34/884.95
  6. Step 6: Final answer
    x = 634.56

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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.