Home / 1,401.93-2,102.49-428.31

Finding the Fourth Proportional to 1,401.93, 2,102.49 and 428.31

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Solution

The fourth proportional to 1,401.93, 2,102.49 and 428.31 is: 642.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.93 : 2,102.49 = 428.31 : x
  2. Step 2: Convert to fraction form
    1,401.93/2,102.49 = 428.31/x
  3. Step 3: Cross multiply
    1,401.93x = 2,102.49 × 428.31
  4. Step 4: Simplify right side
    1,401.93x = 900,517.49
  5. Step 5: Solve for x
    x = 900,517.49/1,401.93
  6. Step 6: Final answer
    x = 642.34

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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.