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Finding the Fourth Proportional to 1,389.11, 2,083.84 and 465.33

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Solution

The fourth proportional to 1,389.11, 2,083.84 and 465.33 is: 698.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.11 : 2,083.84 = 465.33 : x
  2. Step 2: Convert to fraction form
    1,389.11/2,083.84 = 465.33/x
  3. Step 3: Cross multiply
    1,389.11x = 2,083.84 × 465.33
  4. Step 4: Simplify right side
    1,389.11x = 969,670.94
  5. Step 5: Solve for x
    x = 969,670.94/1,389.11
  6. Step 6: Final answer
    x = 698.05

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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.