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Finding the Fourth Proportional to 1,322.14, 1,980.75 and 663.24

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Solution

The fourth proportional to 1,322.14, 1,980.75 and 663.24 is: 993.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.14 : 1,980.75 = 663.24 : x
  2. Step 2: Convert to fraction form
    1,322.14/1,980.75 = 663.24/x
  3. Step 3: Cross multiply
    1,322.14x = 1,980.75 × 663.24
  4. Step 4: Simplify right side
    1,322.14x = 1,313,712.63
  5. Step 5: Solve for x
    x = 1,313,712.63/1,322.14
  6. Step 6: Final answer
    x = 993.63

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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.