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Finding the Fourth Proportional to 813.62, 1,220.44 and 735.86

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Solution

The fourth proportional to 813.62, 1,220.44 and 735.86 is: 1,103.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.62 : 1,220.44 = 735.86 : x
  2. Step 2: Convert to fraction form
    813.62/1,220.44 = 735.86/x
  3. Step 3: Cross multiply
    813.62x = 1,220.44 × 735.86
  4. Step 4: Simplify right side
    813.62x = 898,072.98
  5. Step 5: Solve for x
    x = 898,072.98/813.62
  6. Step 6: Final answer
    x = 1,103.80

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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.