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Finding the Fourth Proportional to 905.56, 1,249.68 and 491.56

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Solution

The fourth proportional to 905.56, 1,249.68 and 491.56 is: 678.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.56 : 1,249.68 = 491.56 : x
  2. Step 2: Convert to fraction form
    905.56/1,249.68 = 491.56/x
  3. Step 3: Cross multiply
    905.56x = 1,249.68 × 491.56
  4. Step 4: Simplify right side
    905.56x = 614,293.98
  5. Step 5: Solve for x
    x = 614,293.98/905.56
  6. Step 6: Final answer
    x = 678.36

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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.