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Finding the Fourth Proportional to 1,245.94, 1,719.41 and 722.00

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Solution

The fourth proportional to 1,245.94, 1,719.41 and 722.00 is: 996.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.94 : 1,719.41 = 722.00 : x
  2. Step 2: Convert to fraction form
    1,245.94/1,719.41 = 722.00/x
  3. Step 3: Cross multiply
    1,245.94x = 1,719.41 × 722.00
  4. Step 4: Simplify right side
    1,245.94x = 1,241,414.71
  5. Step 5: Solve for x
    x = 1,241,414.71/1,245.94
  6. Step 6: Final answer
    x = 996.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.