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Finding the Fourth Proportional to 920.63, 1,372.81 and 853.67

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Solution

The fourth proportional to 920.63, 1,372.81 and 853.67 is: 1,272.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.63 : 1,372.81 = 853.67 : x
  2. Step 2: Convert to fraction form
    920.63/1,372.81 = 853.67/x
  3. Step 3: Cross multiply
    920.63x = 1,372.81 × 853.67
  4. Step 4: Simplify right side
    920.63x = 1,171,919.85
  5. Step 5: Solve for x
    x = 1,171,919.85/920.63
  6. Step 6: Final answer
    x = 1,272.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.