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Finding the Fourth Proportional to 899.75, 1,234.19 and 891.95

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Solution

The fourth proportional to 899.75, 1,234.19 and 891.95 is: 1,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.75 : 1,234.19 = 891.95 : x
  2. Step 2: Convert to fraction form
    899.75/1,234.19 = 891.95/x
  3. Step 3: Cross multiply
    899.75x = 1,234.19 × 891.95
  4. Step 4: Simplify right side
    899.75x = 1,100,835.77
  5. Step 5: Solve for x
    x = 1,100,835.77/899.75
  6. Step 6: Final answer
    x = 1,223.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.