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Finding the Fourth Proportional to 1,372.08, 2,057.87 and 678.51

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Solution

The fourth proportional to 1,372.08, 2,057.87 and 678.51 is: 1,017.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.08 : 2,057.87 = 678.51 : x
  2. Step 2: Convert to fraction form
    1,372.08/2,057.87 = 678.51/x
  3. Step 3: Cross multiply
    1,372.08x = 2,057.87 × 678.51
  4. Step 4: Simplify right side
    1,372.08x = 1,396,285.37
  5. Step 5: Solve for x
    x = 1,396,285.37/1,372.08
  6. Step 6: Final answer
    x = 1,017.64

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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.