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Finding the Fourth Proportional to 1,321.07, 1,981.91 and 704.45

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Solution

The fourth proportional to 1,321.07, 1,981.91 and 704.45 is: 1,056.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.07 : 1,981.91 = 704.45 : x
  2. Step 2: Convert to fraction form
    1,321.07/1,981.91 = 704.45/x
  3. Step 3: Cross multiply
    1,321.07x = 1,981.91 × 704.45
  4. Step 4: Simplify right side
    1,321.07x = 1,396,156.50
  5. Step 5: Solve for x
    x = 1,396,156.50/1,321.07
  6. Step 6: Final answer
    x = 1,056.84

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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.