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Finding the Fourth Proportional to 905.91, 1,357.12 and 558.22

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Solution

The fourth proportional to 905.91, 1,357.12 and 558.22 is: 836.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.91 : 1,357.12 = 558.22 : x
  2. Step 2: Convert to fraction form
    905.91/1,357.12 = 558.22/x
  3. Step 3: Cross multiply
    905.91x = 1,357.12 × 558.22
  4. Step 4: Simplify right side
    905.91x = 757,571.53
  5. Step 5: Solve for x
    x = 757,571.53/905.91
  6. Step 6: Final answer
    x = 836.25

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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.