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Finding the Fourth Proportional to 884.38, 1,325.34 and 753.70

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Solution

The fourth proportional to 884.38, 1,325.34 and 753.70 is: 1,129.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.38 : 1,325.34 = 753.70 : x
  2. Step 2: Convert to fraction form
    884.38/1,325.34 = 753.70/x
  3. Step 3: Cross multiply
    884.38x = 1,325.34 × 753.70
  4. Step 4: Simplify right side
    884.38x = 998,908.76
  5. Step 5: Solve for x
    x = 998,908.76/884.38
  6. Step 6: Final answer
    x = 1,129.50

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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.