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Finding the Fourth Proportional to 1,671.22, 2,507.68 and 684.75

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Solution

The fourth proportional to 1,671.22, 2,507.68 and 684.75 is: 1,027.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.22 : 2,507.68 = 684.75 : x
  2. Step 2: Convert to fraction form
    1,671.22/2,507.68 = 684.75/x
  3. Step 3: Cross multiply
    1,671.22x = 2,507.68 × 684.75
  4. Step 4: Simplify right side
    1,671.22x = 1,717,134.74
  5. Step 5: Solve for x
    x = 1,717,134.74/1,671.22
  6. Step 6: Final answer
    x = 1,027.48

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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.