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Finding the Fourth Proportional to 902.72, 1,353.99 and 286.83

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Solution

The fourth proportional to 902.72, 1,353.99 and 286.83 is: 430.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.72 : 1,353.99 = 286.83 : x
  2. Step 2: Convert to fraction form
    902.72/1,353.99 = 286.83/x
  3. Step 3: Cross multiply
    902.72x = 1,353.99 × 286.83
  4. Step 4: Simplify right side
    902.72x = 388,359.87
  5. Step 5: Solve for x
    x = 388,359.87/902.72
  6. Step 6: Final answer
    x = 430.21

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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.