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Finding the Fourth Proportional to 1,861.82, 2,792.46 and 629.06

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Solution

The fourth proportional to 1,861.82, 2,792.46 and 629.06 is: 943.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.82 : 2,792.46 = 629.06 : x
  2. Step 2: Convert to fraction form
    1,861.82/2,792.46 = 629.06/x
  3. Step 3: Cross multiply
    1,861.82x = 2,792.46 × 629.06
  4. Step 4: Simplify right side
    1,861.82x = 1,756,624.89
  5. Step 5: Solve for x
    x = 1,756,624.89/1,861.82
  6. Step 6: Final answer
    x = 943.50

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1.5x scale

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.