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Finding the Fourth Proportional to 884.49, 1,325.70 and 576.51

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Solution

The fourth proportional to 884.49, 1,325.70 and 576.51 is: 864.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.49 : 1,325.70 = 576.51 : x
  2. Step 2: Convert to fraction form
    884.49/1,325.70 = 576.51/x
  3. Step 3: Cross multiply
    884.49x = 1,325.70 × 576.51
  4. Step 4: Simplify right side
    884.49x = 764,279.31
  5. Step 5: Solve for x
    x = 764,279.31/884.49
  6. Step 6: Final answer
    x = 864.09

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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.