Home / 1,243.40-1,716.64-824.11

Finding the Fourth Proportional to 1,243.40, 1,716.64 and 824.11

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Solution

The fourth proportional to 1,243.40, 1,716.64 and 824.11 is: 1,137.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.40 : 1,716.64 = 824.11 : x
  2. Step 2: Convert to fraction form
    1,243.40/1,716.64 = 824.11/x
  3. Step 3: Cross multiply
    1,243.40x = 1,716.64 × 824.11
  4. Step 4: Simplify right side
    1,243.40x = 1,414,700.19
  5. Step 5: Solve for x
    x = 1,414,700.19/1,243.40
  6. Step 6: Final answer
    x = 1,137.77

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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.