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Finding the Fourth Proportional to 1,293.65, 1,940.07 and 746.09

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Solution

The fourth proportional to 1,293.65, 1,940.07 and 746.09 is: 1,118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.65 : 1,940.07 = 746.09 : x
  2. Step 2: Convert to fraction form
    1,293.65/1,940.07 = 746.09/x
  3. Step 3: Cross multiply
    1,293.65x = 1,940.07 × 746.09
  4. Step 4: Simplify right side
    1,293.65x = 1,447,466.83
  5. Step 5: Solve for x
    x = 1,447,466.83/1,293.65
  6. Step 6: Final answer
    x = 1,118.90

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1.5x scale

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.