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Finding the Fourth Proportional to 1,321.16, 1,981.75 and 627.89

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Solution

The fourth proportional to 1,321.16, 1,981.75 and 627.89 is: 941.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.16 : 1,981.75 = 627.89 : x
  2. Step 2: Convert to fraction form
    1,321.16/1,981.75 = 627.89/x
  3. Step 3: Cross multiply
    1,321.16x = 1,981.75 × 627.89
  4. Step 4: Simplify right side
    1,321.16x = 1,244,326.75
  5. Step 5: Solve for x
    x = 1,244,326.75/1,321.16
  6. Step 6: Final answer
    x = 941.85

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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.