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Finding the Fourth Proportional to 902.81, 1,245.91 and 553.43

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Solution

The fourth proportional to 902.81, 1,245.91 and 553.43 is: 763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.81 : 1,245.91 = 553.43 : x
  2. Step 2: Convert to fraction form
    902.81/1,245.91 = 553.43/x
  3. Step 3: Cross multiply
    902.81x = 1,245.91 × 553.43
  4. Step 4: Simplify right side
    902.81x = 689,527.78
  5. Step 5: Solve for x
    x = 689,527.78/902.81
  6. Step 6: Final answer
    x = 763.76

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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.