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Finding the Fourth Proportional to 869.76, 1,304.64 and 382.88

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Solution

The fourth proportional to 869.76, 1,304.64 and 382.88 is: 574.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.76 : 1,304.64 = 382.88 : x
  2. Step 2: Convert to fraction form
    869.76/1,304.64 = 382.88/x
  3. Step 3: Cross multiply
    869.76x = 1,304.64 × 382.88
  4. Step 4: Simplify right side
    869.76x = 499,520.56
  5. Step 5: Solve for x
    x = 499,520.56/869.76
  6. Step 6: Final answer
    x = 574.32

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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.