Home / 1,218.36-1,680.58-824.68

Finding the Fourth Proportional to 1,218.36, 1,680.58 and 824.68

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Solution

The fourth proportional to 1,218.36, 1,680.58 and 824.68 is: 1,137.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.36 : 1,680.58 = 824.68 : x
  2. Step 2: Convert to fraction form
    1,218.36/1,680.58 = 824.68/x
  3. Step 3: Cross multiply
    1,218.36x = 1,680.58 × 824.68
  4. Step 4: Simplify right side
    1,218.36x = 1,385,940.71
  5. Step 5: Solve for x
    x = 1,385,940.71/1,218.36
  6. Step 6: Final answer
    x = 1,137.55

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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.