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Finding the Fourth Proportional to 1,296.98, 1,945.62 and 475.64

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Solution

The fourth proportional to 1,296.98, 1,945.62 and 475.64 is: 713.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.98 : 1,945.62 = 475.64 : x
  2. Step 2: Convert to fraction form
    1,296.98/1,945.62 = 475.64/x
  3. Step 3: Cross multiply
    1,296.98x = 1,945.62 × 475.64
  4. Step 4: Simplify right side
    1,296.98x = 925,414.70
  5. Step 5: Solve for x
    x = 925,414.70/1,296.98
  6. Step 6: Final answer
    x = 713.52

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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.