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Finding the Fourth Proportional to 884.79, 1,325.03 and 857.25

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Solution

The fourth proportional to 884.79, 1,325.03 and 857.25 is: 1,283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.79 : 1,325.03 = 857.25 : x
  2. Step 2: Convert to fraction form
    884.79/1,325.03 = 857.25/x
  3. Step 3: Cross multiply
    884.79x = 1,325.03 × 857.25
  4. Step 4: Simplify right side
    884.79x = 1,135,877.68
  5. Step 5: Solve for x
    x = 1,135,877.68/884.79
  6. Step 6: Final answer
    x = 1,283.78

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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.