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Finding the Fourth Proportional to 905.82, 1,249.15 and 591.36

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Solution

The fourth proportional to 905.82, 1,249.15 and 591.36 is: 815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.82 : 1,249.15 = 591.36 : x
  2. Step 2: Convert to fraction form
    905.82/1,249.15 = 591.36/x
  3. Step 3: Cross multiply
    905.82x = 1,249.15 × 591.36
  4. Step 4: Simplify right side
    905.82x = 738,699.41
  5. Step 5: Solve for x
    x = 738,699.41/905.82
  6. Step 6: Final answer
    x = 815.50

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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.