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Finding the Fourth Proportional to 904.09, 1,356.33 and 813.37

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Solution

The fourth proportional to 904.09, 1,356.33 and 813.37 is: 1,220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.09 : 1,356.33 = 813.37 : x
  2. Step 2: Convert to fraction form
    904.09/1,356.33 = 813.37/x
  3. Step 3: Cross multiply
    904.09x = 1,356.33 × 813.37
  4. Step 4: Simplify right side
    904.09x = 1,103,198.13
  5. Step 5: Solve for x
    x = 1,103,198.13/904.09
  6. Step 6: Final answer
    x = 1,220.23

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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.