Home / 1,698.27-2,547.59-821.78

Finding the Fourth Proportional to 1,698.27, 2,547.59 and 821.78

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Solution

The fourth proportional to 1,698.27, 2,547.59 and 821.78 is: 1,232.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.27 : 2,547.59 = 821.78 : x
  2. Step 2: Convert to fraction form
    1,698.27/2,547.59 = 821.78/x
  3. Step 3: Cross multiply
    1,698.27x = 2,547.59 × 821.78
  4. Step 4: Simplify right side
    1,698.27x = 2,093,551.22
  5. Step 5: Solve for x
    x = 2,093,551.22/1,698.27
  6. Step 6: Final answer
    x = 1,232.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.