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Finding the Fourth Proportional to 1,682.41, 2,524.33 and 902.20

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Solution

The fourth proportional to 1,682.41, 2,524.33 and 902.20 is: 1,353.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.41 : 2,524.33 = 902.20 : x
  2. Step 2: Convert to fraction form
    1,682.41/2,524.33 = 902.20/x
  3. Step 3: Cross multiply
    1,682.41x = 2,524.33 × 902.20
  4. Step 4: Simplify right side
    1,682.41x = 2,277,450.53
  5. Step 5: Solve for x
    x = 2,277,450.53/1,682.41
  6. Step 6: Final answer
    x = 1,353.68

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1.5x scale

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.