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Finding the Fourth Proportional to 1,304.90, 1,957.35 and 330.97

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Solution

The fourth proportional to 1,304.90, 1,957.35 and 330.97 is: 496.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.90 : 1,957.35 = 330.97 : x
  2. Step 2: Convert to fraction form
    1,304.90/1,957.35 = 330.97/x
  3. Step 3: Cross multiply
    1,304.90x = 1,957.35 × 330.97
  4. Step 4: Simplify right side
    1,304.90x = 647,824.13
  5. Step 5: Solve for x
    x = 647,824.13/1,304.90
  6. Step 6: Final answer
    x = 496.46

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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.