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Finding the Fourth Proportional to 1,781.14, 2,671.29 and 684.94

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Solution

The fourth proportional to 1,781.14, 2,671.29 and 684.94 is: 1,027.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.14 : 2,671.29 = 684.94 : x
  2. Step 2: Convert to fraction form
    1,781.14/2,671.29 = 684.94/x
  3. Step 3: Cross multiply
    1,781.14x = 2,671.29 × 684.94
  4. Step 4: Simplify right side
    1,781.14x = 1,829,673.37
  5. Step 5: Solve for x
    x = 1,829,673.37/1,781.14
  6. Step 6: Final answer
    x = 1,027.25

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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.