Home / 1,605.83-2,408.74-1,164.38

Finding the Fourth Proportional to 1,605.83, 2,408.74 and 1,164.38

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Solution

The fourth proportional to 1,605.83, 2,408.74 and 1,164.38 is: 1,746.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.83 : 2,408.74 = 1,164.38 : x
  2. Step 2: Convert to fraction form
    1,605.83/2,408.74 = 1,164.38/x
  3. Step 3: Cross multiply
    1,605.83x = 2,408.74 × 1,164.38
  4. Step 4: Simplify right side
    1,605.83x = 2,804,673.73
  5. Step 5: Solve for x
    x = 2,804,673.73/1,605.83
  6. Step 6: Final answer
    x = 1,746.56

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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.