Home / 1,401.17-2,101.26-413.72

Finding the Fourth Proportional to 1,401.17, 2,101.26 and 413.72

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Solution

The fourth proportional to 1,401.17, 2,101.26 and 413.72 is: 620.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.17 : 2,101.26 = 413.72 : x
  2. Step 2: Convert to fraction form
    1,401.17/2,101.26 = 413.72/x
  3. Step 3: Cross multiply
    1,401.17x = 2,101.26 × 413.72
  4. Step 4: Simplify right side
    1,401.17x = 869,325.17
  5. Step 5: Solve for x
    x = 869,325.17/1,401.17
  6. Step 6: Final answer
    x = 620.43

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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.