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Finding the Fourth Proportional to 869.87, 1,305.05 and 253.64

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Solution

The fourth proportional to 869.87, 1,305.05 and 253.64 is: 380.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.87 : 1,305.05 = 253.64 : x
  2. Step 2: Convert to fraction form
    869.87/1,305.05 = 253.64/x
  3. Step 3: Cross multiply
    869.87x = 1,305.05 × 253.64
  4. Step 4: Simplify right side
    869.87x = 331,014.88
  5. Step 5: Solve for x
    x = 331,014.88/869.87
  6. Step 6: Final answer
    x = 380.53

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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.