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Finding the Fourth Proportional to 902.07, 1,352.24 and 439.94

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Solution

The fourth proportional to 902.07, 1,352.24 and 439.94 is: 659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.07 : 1,352.24 = 439.94 : x
  2. Step 2: Convert to fraction form
    902.07/1,352.24 = 439.94/x
  3. Step 3: Cross multiply
    902.07x = 1,352.24 × 439.94
  4. Step 4: Simplify right side
    902.07x = 594,907.30
  5. Step 5: Solve for x
    x = 594,907.30/902.07
  6. Step 6: Final answer
    x = 659.49

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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.