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Finding the Fourth Proportional to 905.48, 1,249.93 and 669.97

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Solution

The fourth proportional to 905.48, 1,249.93 and 669.97 is: 924.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.48 : 1,249.93 = 669.97 : x
  2. Step 2: Convert to fraction form
    905.48/1,249.93 = 669.97/x
  3. Step 3: Cross multiply
    905.48x = 1,249.93 × 669.97
  4. Step 4: Simplify right side
    905.48x = 837,418.00
  5. Step 5: Solve for x
    x = 837,418.00/905.48
  6. Step 6: Final answer
    x = 924.83

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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.