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Finding the Fourth Proportional to 1,036.50, 1,553.97 and 419.73

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Solution

The fourth proportional to 1,036.50, 1,553.97 and 419.73 is: 629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.50 : 1,553.97 = 419.73 : x
  2. Step 2: Convert to fraction form
    1,036.50/1,553.97 = 419.73/x
  3. Step 3: Cross multiply
    1,036.50x = 1,553.97 × 419.73
  4. Step 4: Simplify right side
    1,036.50x = 652,247.83
  5. Step 5: Solve for x
    x = 652,247.83/1,036.50
  6. Step 6: Final answer
    x = 629.28

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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.