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Finding the Fourth Proportional to 1,389.89, 2,083.17 and 648.50

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Solution

The fourth proportional to 1,389.89, 2,083.17 and 648.50 is: 971.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.89 : 2,083.17 = 648.50 : x
  2. Step 2: Convert to fraction form
    1,389.89/2,083.17 = 648.50/x
  3. Step 3: Cross multiply
    1,389.89x = 2,083.17 × 648.50
  4. Step 4: Simplify right side
    1,389.89x = 1,350,935.75
  5. Step 5: Solve for x
    x = 1,350,935.75/1,389.89
  6. Step 6: Final answer
    x = 971.97

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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.