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Finding the Fourth Proportional to 1,389.05, 2,083.68 and 464.61

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Solution

The fourth proportional to 1,389.05, 2,083.68 and 464.61 is: 696.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.05 : 2,083.68 = 464.61 : x
  2. Step 2: Convert to fraction form
    1,389.05/2,083.68 = 464.61/x
  3. Step 3: Cross multiply
    1,389.05x = 2,083.68 × 464.61
  4. Step 4: Simplify right side
    1,389.05x = 968,099.73
  5. Step 5: Solve for x
    x = 968,099.73/1,389.05
  6. Step 6: Final answer
    x = 696.95

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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.