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Finding the Fourth Proportional to 902.08, 1,352.88 and 415.36

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Solution

The fourth proportional to 902.08, 1,352.88 and 415.36 is: 622.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.08 : 1,352.88 = 415.36 : x
  2. Step 2: Convert to fraction form
    902.08/1,352.88 = 415.36/x
  3. Step 3: Cross multiply
    902.08x = 1,352.88 × 415.36
  4. Step 4: Simplify right side
    902.08x = 561,932.24
  5. Step 5: Solve for x
    x = 561,932.24/902.08
  6. Step 6: Final answer
    x = 622.93

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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.