Home / 1,644.75-2,465.28-823.73

Finding the Fourth Proportional to 1,644.75, 2,465.28 and 823.73

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Solution

The fourth proportional to 1,644.75, 2,465.28 and 823.73 is: 1,234.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.75 : 2,465.28 = 823.73 : x
  2. Step 2: Convert to fraction form
    1,644.75/2,465.28 = 823.73/x
  3. Step 3: Cross multiply
    1,644.75x = 2,465.28 × 823.73
  4. Step 4: Simplify right side
    1,644.75x = 2,030,712.77
  5. Step 5: Solve for x
    x = 2,030,712.77/1,644.75
  6. Step 6: Final answer
    x = 1,234.66

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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.