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Finding the Fourth Proportional to 904.39, 1,249.23 and 668.82

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Solution

The fourth proportional to 904.39, 1,249.23 and 668.82 is: 923.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.39 : 1,249.23 = 668.82 : x
  2. Step 2: Convert to fraction form
    904.39/1,249.23 = 668.82/x
  3. Step 3: Cross multiply
    904.39x = 1,249.23 × 668.82
  4. Step 4: Simplify right side
    904.39x = 835,510.01
  5. Step 5: Solve for x
    x = 835,510.01/904.39
  6. Step 6: Final answer
    x = 923.84

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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.