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Finding the Fourth Proportional to 903.09, 1,354.83 and 812.37

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Solution

The fourth proportional to 903.09, 1,354.83 and 812.37 is: 1,218.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.09 : 1,354.83 = 812.37 : x
  2. Step 2: Convert to fraction form
    903.09/1,354.83 = 812.37/x
  3. Step 3: Cross multiply
    903.09x = 1,354.83 × 812.37
  4. Step 4: Simplify right side
    903.09x = 1,100,623.25
  5. Step 5: Solve for x
    x = 1,100,623.25/903.09
  6. Step 6: Final answer
    x = 1,218.73

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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.