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Finding the Fourth Proportional to 1,603.46, 2,401.35 and 821.41

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Solution

The fourth proportional to 1,603.46, 2,401.35 and 821.41 is: 1,230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.46 : 2,401.35 = 821.41 : x
  2. Step 2: Convert to fraction form
    1,603.46/2,401.35 = 821.41/x
  3. Step 3: Cross multiply
    1,603.46x = 2,401.35 × 821.41
  4. Step 4: Simplify right side
    1,603.46x = 1,972,483.82
  5. Step 5: Solve for x
    x = 1,972,483.82/1,603.46
  6. Step 6: Final answer
    x = 1,230.14

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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.