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Finding the Fourth Proportional to 1,296.33, 1,945.43 and 1,046.78

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Solution

The fourth proportional to 1,296.33, 1,945.43 and 1,046.78 is: 1,570.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.33 : 1,945.43 = 1,046.78 : x
  2. Step 2: Convert to fraction form
    1,296.33/1,945.43 = 1,046.78/x
  3. Step 3: Cross multiply
    1,296.33x = 1,945.43 × 1,046.78
  4. Step 4: Simplify right side
    1,296.33x = 2,036,437.22
  5. Step 5: Solve for x
    x = 2,036,437.22/1,296.33
  6. Step 6: Final answer
    x = 1,570.93

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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.