Home / 1,010.14-1,388.07-823.23

Finding the Fourth Proportional to 1,010.14, 1,388.07 and 823.23

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Solution

The fourth proportional to 1,010.14, 1,388.07 and 823.23 is: 1,131.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.14 : 1,388.07 = 823.23 : x
  2. Step 2: Convert to fraction form
    1,010.14/1,388.07 = 823.23/x
  3. Step 3: Cross multiply
    1,010.14x = 1,388.07 × 823.23
  4. Step 4: Simplify right side
    1,010.14x = 1,142,700.87
  5. Step 5: Solve for x
    x = 1,142,700.87/1,010.14
  6. Step 6: Final answer
    x = 1,131.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.