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Finding the Fourth Proportional to 1,293.12, 1,940.04 and 716.40

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Solution

The fourth proportional to 1,293.12, 1,940.04 and 716.40 is: 1,074.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.12 : 1,940.04 = 716.40 : x
  2. Step 2: Convert to fraction form
    1,293.12/1,940.04 = 716.40/x
  3. Step 3: Cross multiply
    1,293.12x = 1,940.04 × 716.40
  4. Step 4: Simplify right side
    1,293.12x = 1,389,844.66
  5. Step 5: Solve for x
    x = 1,389,844.66/1,293.12
  6. Step 6: Final answer
    x = 1,074.80

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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.