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Finding the Fourth Proportional to 1,296.81, 1,945.08 and 516.65

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Solution

The fourth proportional to 1,296.81, 1,945.08 and 516.65 is: 774.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.81 : 1,945.08 = 516.65 : x
  2. Step 2: Convert to fraction form
    1,296.81/1,945.08 = 516.65/x
  3. Step 3: Cross multiply
    1,296.81x = 1,945.08 × 516.65
  4. Step 4: Simplify right side
    1,296.81x = 1,004,915.86
  5. Step 5: Solve for x
    x = 1,004,915.86/1,296.81
  6. Step 6: Final answer
    x = 774.91

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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.