Home / 1,452.77-2,004.87-823.26

Finding the Fourth Proportional to 1,452.77, 2,004.87 and 823.26

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Solution

The fourth proportional to 1,452.77, 2,004.87 and 823.26 is: 1,136.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.77 : 2,004.87 = 823.26 : x
  2. Step 2: Convert to fraction form
    1,452.77/2,004.87 = 823.26/x
  3. Step 3: Cross multiply
    1,452.77x = 2,004.87 × 823.26
  4. Step 4: Simplify right side
    1,452.77x = 1,650,529.28
  5. Step 5: Solve for x
    x = 1,650,529.28/1,452.77
  6. Step 6: Final answer
    x = 1,136.13

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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.