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Finding the Fourth Proportional to 1,304.24, 1,956.36 and 654.82

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Solution

The fourth proportional to 1,304.24, 1,956.36 and 654.82 is: 982.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.24 : 1,956.36 = 654.82 : x
  2. Step 2: Convert to fraction form
    1,304.24/1,956.36 = 654.82/x
  3. Step 3: Cross multiply
    1,304.24x = 1,956.36 × 654.82
  4. Step 4: Simplify right side
    1,304.24x = 1,281,063.66
  5. Step 5: Solve for x
    x = 1,281,063.66/1,304.24
  6. Step 6: Final answer
    x = 982.23

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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.