Home / 1,601.02-2,401.76-821.44

Finding the Fourth Proportional to 1,601.02, 2,401.76 and 821.44

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Solution

The fourth proportional to 1,601.02, 2,401.76 and 821.44 is: 1,232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.02 : 2,401.76 = 821.44 : x
  2. Step 2: Convert to fraction form
    1,601.02/2,401.76 = 821.44/x
  3. Step 3: Cross multiply
    1,601.02x = 2,401.76 × 821.44
  4. Step 4: Simplify right side
    1,601.02x = 1,972,901.73
  5. Step 5: Solve for x
    x = 1,972,901.73/1,601.02
  6. Step 6: Final answer
    x = 1,232.28

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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.