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Finding the Fourth Proportional to 1,296, 1,945.08 and 783

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Solution

The fourth proportional to 1,296, 1,945.08 and 783 is: 1,175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296 : 1,945.08 = 783 : x
  2. Step 2: Convert to fraction form
    1,296/1,945.08 = 783/x
  3. Step 3: Cross multiply
    1,296x = 1,945.08 × 783
  4. Step 4: Simplify right side
    1,296x = 1,522,997.64
  5. Step 5: Solve for x
    x = 1,522,997.64/1,296
  6. Step 6: Final answer
    x = 1,175.15

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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.