Home / 1,484.45-2,048.37-821.22

Finding the Fourth Proportional to 1,484.45, 2,048.37 and 821.22

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Solution

The fourth proportional to 1,484.45, 2,048.37 and 821.22 is: 1,133.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.45 : 2,048.37 = 821.22 : x
  2. Step 2: Convert to fraction form
    1,484.45/2,048.37 = 821.22/x
  3. Step 3: Cross multiply
    1,484.45x = 2,048.37 × 821.22
  4. Step 4: Simplify right side
    1,484.45x = 1,682,162.41
  5. Step 5: Solve for x
    x = 1,682,162.41/1,484.45
  6. Step 6: Final answer
    x = 1,133.19

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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.