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Finding the Fourth Proportional to 1,234.77, 1,851.85 and 369.09

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Solution

The fourth proportional to 1,234.77, 1,851.85 and 369.09 is: 553.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.77 : 1,851.85 = 369.09 : x
  2. Step 2: Convert to fraction form
    1,234.77/1,851.85 = 369.09/x
  3. Step 3: Cross multiply
    1,234.77x = 1,851.85 × 369.09
  4. Step 4: Simplify right side
    1,234.77x = 683,499.32
  5. Step 5: Solve for x
    x = 683,499.32/1,234.77
  6. Step 6: Final answer
    x = 553.54

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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.