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Finding the Fourth Proportional to 1,243.53, 1,716.07 and 684.02

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Solution

The fourth proportional to 1,243.53, 1,716.07 and 684.02 is: 943.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.53 : 1,716.07 = 684.02 : x
  2. Step 2: Convert to fraction form
    1,243.53/1,716.07 = 684.02/x
  3. Step 3: Cross multiply
    1,243.53x = 1,716.07 × 684.02
  4. Step 4: Simplify right side
    1,243.53x = 1,173,828.12
  5. Step 5: Solve for x
    x = 1,173,828.12/1,243.53
  6. Step 6: Final answer
    x = 943.95

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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.