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Finding the Fourth Proportional to 869.81, 1,304.72 and 292.69

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Solution

The fourth proportional to 869.81, 1,304.72 and 292.69 is: 439.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.81 : 1,304.72 = 292.69 : x
  2. Step 2: Convert to fraction form
    869.81/1,304.72 = 292.69/x
  3. Step 3: Cross multiply
    869.81x = 1,304.72 × 292.69
  4. Step 4: Simplify right side
    869.81x = 381,875.97
  5. Step 5: Solve for x
    x = 381,875.97/869.81
  6. Step 6: Final answer
    x = 439.03

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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.