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Finding the Fourth Proportional to 1,953.28, 2,928.64 and 798.72

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Solution

The fourth proportional to 1,953.28, 2,928.64 and 798.72 is: 1,197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.28 : 2,928.64 = 798.72 : x
  2. Step 2: Convert to fraction form
    1,953.28/2,928.64 = 798.72/x
  3. Step 3: Cross multiply
    1,953.28x = 2,928.64 × 798.72
  4. Step 4: Simplify right side
    1,953.28x = 2,339,163.34
  5. Step 5: Solve for x
    x = 2,339,163.34/1,953.28
  6. Step 6: Final answer
    x = 1,197.56

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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.