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Finding the Fourth Proportional to 902.50, 1,245.02 and 640.66

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Solution

The fourth proportional to 902.50, 1,245.02 and 640.66 is: 883.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.50 : 1,245.02 = 640.66 : x
  2. Step 2: Convert to fraction form
    902.50/1,245.02 = 640.66/x
  3. Step 3: Cross multiply
    902.50x = 1,245.02 × 640.66
  4. Step 4: Simplify right side
    902.50x = 797,634.51
  5. Step 5: Solve for x
    x = 797,634.51/902.50
  6. Step 6: Final answer
    x = 883.81

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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.