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Finding the Fourth Proportional to 1,298.72, 1,947.96 and 805.21

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Solution

The fourth proportional to 1,298.72, 1,947.96 and 805.21 is: 1,207.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.72 : 1,947.96 = 805.21 : x
  2. Step 2: Convert to fraction form
    1,298.72/1,947.96 = 805.21/x
  3. Step 3: Cross multiply
    1,298.72x = 1,947.96 × 805.21
  4. Step 4: Simplify right side
    1,298.72x = 1,568,512.00
  5. Step 5: Solve for x
    x = 1,568,512.00/1,298.72
  6. Step 6: Final answer
    x = 1,207.73

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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.