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Finding the Fourth Proportional to 902.85, 1,352.25 and 491.58

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Solution

The fourth proportional to 902.85, 1,352.25 and 491.58 is: 736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.85 : 1,352.25 = 491.58 : x
  2. Step 2: Convert to fraction form
    902.85/1,352.25 = 491.58/x
  3. Step 3: Cross multiply
    902.85x = 1,352.25 × 491.58
  4. Step 4: Simplify right side
    902.85x = 664,739.06
  5. Step 5: Solve for x
    x = 664,739.06/902.85
  6. Step 6: Final answer
    x = 736.27

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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.