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Finding the Fourth Proportional to 1,207.78, 1,811.67 and 629.98

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Solution

The fourth proportional to 1,207.78, 1,811.67 and 629.98 is: 944.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.78 : 1,811.67 = 629.98 : x
  2. Step 2: Convert to fraction form
    1,207.78/1,811.67 = 629.98/x
  3. Step 3: Cross multiply
    1,207.78x = 1,811.67 × 629.98
  4. Step 4: Simplify right side
    1,207.78x = 1,141,315.87
  5. Step 5: Solve for x
    x = 1,141,315.87/1,207.78
  6. Step 6: Final answer
    x = 944.97

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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.