Home / 1,484.31-2,048.45-821.33

Finding the Fourth Proportional to 1,484.31, 2,048.45 and 821.33

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Solution

The fourth proportional to 1,484.31, 2,048.45 and 821.33 is: 1,133.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.31 : 2,048.45 = 821.33 : x
  2. Step 2: Convert to fraction form
    1,484.31/2,048.45 = 821.33/x
  3. Step 3: Cross multiply
    1,484.31x = 2,048.45 × 821.33
  4. Step 4: Simplify right side
    1,484.31x = 1,682,453.44
  5. Step 5: Solve for x
    x = 1,682,453.44/1,484.31
  6. Step 6: Final answer
    x = 1,133.49

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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.