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Finding the Fourth Proportional to 1,322.11, 1,981.99 and 705.25

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Solution

The fourth proportional to 1,322.11, 1,981.99 and 705.25 is: 1,057.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.11 : 1,981.99 = 705.25 : x
  2. Step 2: Convert to fraction form
    1,322.11/1,981.99 = 705.25/x
  3. Step 3: Cross multiply
    1,322.11x = 1,981.99 × 705.25
  4. Step 4: Simplify right side
    1,322.11x = 1,397,798.45
  5. Step 5: Solve for x
    x = 1,397,798.45/1,322.11
  6. Step 6: Final answer
    x = 1,057.25

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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.