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Finding the Fourth Proportional to 869.71, 1,304.26 and 253.25

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Solution

The fourth proportional to 869.71, 1,304.26 and 253.25 is: 379.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.71 : 1,304.26 = 253.25 : x
  2. Step 2: Convert to fraction form
    869.71/1,304.26 = 253.25/x
  3. Step 3: Cross multiply
    869.71x = 1,304.26 × 253.25
  4. Step 4: Simplify right side
    869.71x = 330,303.85
  5. Step 5: Solve for x
    x = 330,303.85/869.71
  6. Step 6: Final answer
    x = 379.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.