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Finding the Fourth Proportional to 902.98, 1,245.98 and 504.64

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Solution

The fourth proportional to 902.98, 1,245.98 and 504.64 is: 696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.98 : 1,245.98 = 504.64 : x
  2. Step 2: Convert to fraction form
    902.98/1,245.98 = 504.64/x
  3. Step 3: Cross multiply
    902.98x = 1,245.98 × 504.64
  4. Step 4: Simplify right side
    902.98x = 628,762.59
  5. Step 5: Solve for x
    x = 628,762.59/902.98
  6. Step 6: Final answer
    x = 696.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.