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Finding the Fourth Proportional to 1,389.31, 2,083.97 and 415.38

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Solution

The fourth proportional to 1,389.31, 2,083.97 and 415.38 is: 623.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.31 : 2,083.97 = 415.38 : x
  2. Step 2: Convert to fraction form
    1,389.31/2,083.97 = 415.38/x
  3. Step 3: Cross multiply
    1,389.31x = 2,083.97 × 415.38
  4. Step 4: Simplify right side
    1,389.31x = 865,637.38
  5. Step 5: Solve for x
    x = 865,637.38/1,389.31
  6. Step 6: Final answer
    x = 623.07

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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.