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Finding the Fourth Proportional to 1,389.35, 2,083.68 and 648.50

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Solution

The fourth proportional to 1,389.35, 2,083.68 and 648.50 is: 972.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.35 : 2,083.68 = 648.50 : x
  2. Step 2: Convert to fraction form
    1,389.35/2,083.68 = 648.50/x
  3. Step 3: Cross multiply
    1,389.35x = 2,083.68 × 648.50
  4. Step 4: Simplify right side
    1,389.35x = 1,351,256.06
  5. Step 5: Solve for x
    x = 1,351,256.06/1,389.35
  6. Step 6: Final answer
    x = 972.58

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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.