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Finding the Fourth Proportional to 1,293.69, 1,939.47 and 513.36

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Solution

The fourth proportional to 1,293.69, 1,939.47 and 513.36 is: 769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.69 : 1,939.47 = 513.36 : x
  2. Step 2: Convert to fraction form
    1,293.69/1,939.47 = 513.36/x
  3. Step 3: Cross multiply
    1,293.69x = 1,939.47 × 513.36
  4. Step 4: Simplify right side
    1,293.69x = 995,646.32
  5. Step 5: Solve for x
    x = 995,646.32/1,293.69
  6. Step 6: Final answer
    x = 769.62

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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.