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Finding the Fourth Proportional to 1,830.95, 2,744.74 and 660.67

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Solution

The fourth proportional to 1,830.95, 2,744.74 and 660.67 is: 990.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.95 : 2,744.74 = 660.67 : x
  2. Step 2: Convert to fraction form
    1,830.95/2,744.74 = 660.67/x
  3. Step 3: Cross multiply
    1,830.95x = 2,744.74 × 660.67
  4. Step 4: Simplify right side
    1,830.95x = 1,813,364.07
  5. Step 5: Solve for x
    x = 1,813,364.07/1,830.95
  6. Step 6: Final answer
    x = 990.40

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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.