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Finding the Fourth Proportional to 902.26, 1,353.27 and 286.03

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Solution

The fourth proportional to 902.26, 1,353.27 and 286.03 is: 429.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.26 : 1,353.27 = 286.03 : x
  2. Step 2: Convert to fraction form
    902.26/1,353.27 = 286.03/x
  3. Step 3: Cross multiply
    902.26x = 1,353.27 × 286.03
  4. Step 4: Simplify right side
    902.26x = 387,069.77
  5. Step 5: Solve for x
    x = 387,069.77/902.26
  6. Step 6: Final answer
    x = 429.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.