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Finding the Fourth Proportional to 1,243.60, 1,716.20 and 684.09

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Solution

The fourth proportional to 1,243.60, 1,716.20 and 684.09 is: 944.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.60 : 1,716.20 = 684.09 : x
  2. Step 2: Convert to fraction form
    1,243.60/1,716.20 = 684.09/x
  3. Step 3: Cross multiply
    1,243.60x = 1,716.20 × 684.09
  4. Step 4: Simplify right side
    1,243.60x = 1,174,026.68
  5. Step 5: Solve for x
    x = 1,174,026.68/1,243.60
  6. Step 6: Final answer
    x = 944.06

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1.5x scale

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.