Home / 1,445.93-2,165.39-827.75

Finding the Fourth Proportional to 1,445.93, 2,165.39 and 827.75

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Solution

The fourth proportional to 1,445.93, 2,165.39 and 827.75 is: 1,239.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.93 : 2,165.39 = 827.75 : x
  2. Step 2: Convert to fraction form
    1,445.93/2,165.39 = 827.75/x
  3. Step 3: Cross multiply
    1,445.93x = 2,165.39 × 827.75
  4. Step 4: Simplify right side
    1,445.93x = 1,792,409.06
  5. Step 5: Solve for x
    x = 1,792,409.06/1,445.93
  6. Step 6: Final answer
    x = 1,239.63

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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.