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Finding the Fourth Proportional to 1,305.12, 1,798.16 and 1,272.64

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Solution

The fourth proportional to 1,305.12, 1,798.16 and 1,272.64 is: 1,753.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.12 : 1,798.16 = 1,272.64 : x
  2. Step 2: Convert to fraction form
    1,305.12/1,798.16 = 1,272.64/x
  3. Step 3: Cross multiply
    1,305.12x = 1,798.16 × 1,272.64
  4. Step 4: Simplify right side
    1,305.12x = 2,288,410.34
  5. Step 5: Solve for x
    x = 2,288,410.34/1,305.12
  6. Step 6: Final answer
    x = 1,753.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.