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Finding the Fourth Proportional to 1,147.75, 1,583.89 and 623.78

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Solution

The fourth proportional to 1,147.75, 1,583.89 and 623.78 is: 860.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.75 : 1,583.89 = 623.78 : x
  2. Step 2: Convert to fraction form
    1,147.75/1,583.89 = 623.78/x
  3. Step 3: Cross multiply
    1,147.75x = 1,583.89 × 623.78
  4. Step 4: Simplify right side
    1,147.75x = 987,993.39
  5. Step 5: Solve for x
    x = 987,993.39/1,147.75
  6. Step 6: Final answer
    x = 860.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.