Home / 1,605.51-2,408.42-823.37

Finding the Fourth Proportional to 1,605.51, 2,408.42 and 823.37

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Solution

The fourth proportional to 1,605.51, 2,408.42 and 823.37 is: 1,235.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.51 : 2,408.42 = 823.37 : x
  2. Step 2: Convert to fraction form
    1,605.51/2,408.42 = 823.37/x
  3. Step 3: Cross multiply
    1,605.51x = 2,408.42 × 823.37
  4. Step 4: Simplify right side
    1,605.51x = 1,983,010.79
  5. Step 5: Solve for x
    x = 1,983,010.79/1,605.51
  6. Step 6: Final answer
    x = 1,235.13

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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.