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Finding the Fourth Proportional to 902.24, 1,245.24 and 680.84

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Solution

The fourth proportional to 902.24, 1,245.24 and 680.84 is: 939.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.24 : 1,245.24 = 680.84 : x
  2. Step 2: Convert to fraction form
    902.24/1,245.24 = 680.84/x
  3. Step 3: Cross multiply
    902.24x = 1,245.24 × 680.84
  4. Step 4: Simplify right side
    902.24x = 847,809.20
  5. Step 5: Solve for x
    x = 847,809.20/902.24
  6. Step 6: Final answer
    x = 939.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.