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Finding the Fourth Proportional to 902.83, 1,245.01 and 548.80

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Solution

The fourth proportional to 902.83, 1,245.01 and 548.80 is: 756.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.83 : 1,245.01 = 548.80 : x
  2. Step 2: Convert to fraction form
    902.83/1,245.01 = 548.80/x
  3. Step 3: Cross multiply
    902.83x = 1,245.01 × 548.80
  4. Step 4: Simplify right side
    902.83x = 683,255.26
  5. Step 5: Solve for x
    x = 683,255.26/902.83
  6. Step 6: Final answer
    x = 756.80

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