Home / 1,452.93-2,005.22-823.56

Finding the Fourth Proportional to 1,452.93, 2,005.22 and 823.56

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Solution

The fourth proportional to 1,452.93, 2,005.22 and 823.56 is: 1,136.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.93 : 2,005.22 = 823.56 : x
  2. Step 2: Convert to fraction form
    1,452.93/2,005.22 = 823.56/x
  3. Step 3: Cross multiply
    1,452.93x = 2,005.22 × 823.56
  4. Step 4: Simplify right side
    1,452.93x = 1,651,413.52
  5. Step 5: Solve for x
    x = 1,651,413.52/1,452.93
  6. Step 6: Final answer
    x = 1,136.61

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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.