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Finding the Fourth Proportional to 1,781.04, 2,671.62 and 482.54

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Solution

The fourth proportional to 1,781.04, 2,671.62 and 482.54 is: 723.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.04 : 2,671.62 = 482.54 : x
  2. Step 2: Convert to fraction form
    1,781.04/2,671.62 = 482.54/x
  3. Step 3: Cross multiply
    1,781.04x = 2,671.62 × 482.54
  4. Step 4: Simplify right side
    1,781.04x = 1,289,163.51
  5. Step 5: Solve for x
    x = 1,289,163.51/1,781.04
  6. Step 6: Final answer
    x = 723.83

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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.