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Finding the Fourth Proportional to 1,905.56, 2,858.16 and 672.92

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Solution

The fourth proportional to 1,905.56, 2,858.16 and 672.92 is: 1,009.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.56 : 2,858.16 = 672.92 : x
  2. Step 2: Convert to fraction form
    1,905.56/2,858.16 = 672.92/x
  3. Step 3: Cross multiply
    1,905.56x = 2,858.16 × 672.92
  4. Step 4: Simplify right side
    1,905.56x = 1,923,313.03
  5. Step 5: Solve for x
    x = 1,923,313.03/1,905.56
  6. Step 6: Final answer
    x = 1,009.32

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1.5x scale

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.