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Finding the Fourth Proportional to 897.22, 1,243.27 and 842.41

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Solution

The fourth proportional to 897.22, 1,243.27 and 842.41 is: 1,167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.22 : 1,243.27 = 842.41 : x
  2. Step 2: Convert to fraction form
    897.22/1,243.27 = 842.41/x
  3. Step 3: Cross multiply
    897.22x = 1,243.27 × 842.41
  4. Step 4: Simplify right side
    897.22x = 1,047,343.08
  5. Step 5: Solve for x
    x = 1,047,343.08/897.22
  6. Step 6: Final answer
    x = 1,167.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.