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Finding the Fourth Proportional to 1,243.51, 1,716.01 and 683.98

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Solution

The fourth proportional to 1,243.51, 1,716.01 and 683.98 is: 943.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.51 : 1,716.01 = 683.98 : x
  2. Step 2: Convert to fraction form
    1,243.51/1,716.01 = 683.98/x
  3. Step 3: Cross multiply
    1,243.51x = 1,716.01 × 683.98
  4. Step 4: Simplify right side
    1,243.51x = 1,173,716.52
  5. Step 5: Solve for x
    x = 1,173,716.52/1,243.51
  6. Step 6: Final answer
    x = 943.87

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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.