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Finding the Fourth Proportional to 1,304.72, 1,954.10 and 816.56

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Solution

The fourth proportional to 1,304.72, 1,954.10 and 816.56 is: 1,222.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.72 : 1,954.10 = 816.56 : x
  2. Step 2: Convert to fraction form
    1,304.72/1,954.10 = 816.56/x
  3. Step 3: Cross multiply
    1,304.72x = 1,954.10 × 816.56
  4. Step 4: Simplify right side
    1,304.72x = 1,595,639.90
  5. Step 5: Solve for x
    x = 1,595,639.90/1,304.72
  6. Step 6: Final answer
    x = 1,222.97

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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.