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Finding the Fourth Proportional to 825.53, 1,237.61 and 643.73

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Solution

The fourth proportional to 825.53, 1,237.61 and 643.73 is: 965.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.53 : 1,237.61 = 643.73 : x
  2. Step 2: Convert to fraction form
    825.53/1,237.61 = 643.73/x
  3. Step 3: Cross multiply
    825.53x = 1,237.61 × 643.73
  4. Step 4: Simplify right side
    825.53x = 796,677.28
  5. Step 5: Solve for x
    x = 796,677.28/825.53
  6. Step 6: Final answer
    x = 965.06

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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.