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Finding the Fourth Proportional to 902.21, 1,359.59 and 815.60

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Solution

The fourth proportional to 902.21, 1,359.59 and 815.60 is: 1,229.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.21 : 1,359.59 = 815.60 : x
  2. Step 2: Convert to fraction form
    902.21/1,359.59 = 815.60/x
  3. Step 3: Cross multiply
    902.21x = 1,359.59 × 815.60
  4. Step 4: Simplify right side
    902.21x = 1,108,880.92
  5. Step 5: Solve for x
    x = 1,108,880.92/902.21
  6. Step 6: Final answer
    x = 1,229.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.