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Finding the Fourth Proportional to 1,321.92, 1,981.51 and 627.55

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Solution

The fourth proportional to 1,321.92, 1,981.51 and 627.55 is: 940.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.92 : 1,981.51 = 627.55 : x
  2. Step 2: Convert to fraction form
    1,321.92/1,981.51 = 627.55/x
  3. Step 3: Cross multiply
    1,321.92x = 1,981.51 × 627.55
  4. Step 4: Simplify right side
    1,321.92x = 1,243,493.61
  5. Step 5: Solve for x
    x = 1,243,493.61/1,321.92
  6. Step 6: Final answer
    x = 940.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.