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Finding the Fourth Proportional to 1,603.73, 2,401.81 and 1,254.62

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Solution

The fourth proportional to 1,603.73, 2,401.81 and 1,254.62 is: 1,878.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.73 : 2,401.81 = 1,254.62 : x
  2. Step 2: Convert to fraction form
    1,603.73/2,401.81 = 1,254.62/x
  3. Step 3: Cross multiply
    1,603.73x = 2,401.81 × 1,254.62
  4. Step 4: Simplify right side
    1,603.73x = 3,013,358.86
  5. Step 5: Solve for x
    x = 3,013,358.86/1,603.73
  6. Step 6: Final answer
    x = 1,878.97

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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.