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Finding the Fourth Proportional to 1,293.72, 1,940.63 and 319.83

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Solution

The fourth proportional to 1,293.72, 1,940.63 and 319.83 is: 479.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.72 : 1,940.63 = 319.83 : x
  2. Step 2: Convert to fraction form
    1,293.72/1,940.63 = 319.83/x
  3. Step 3: Cross multiply
    1,293.72x = 1,940.63 × 319.83
  4. Step 4: Simplify right side
    1,293.72x = 620,670.09
  5. Step 5: Solve for x
    x = 620,670.09/1,293.72
  6. Step 6: Final answer
    x = 479.76

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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.