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Finding the Fourth Proportional to 1,322.90, 1,984.74 and 445.48

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Solution

The fourth proportional to 1,322.90, 1,984.74 and 445.48 is: 668.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.90 : 1,984.74 = 445.48 : x
  2. Step 2: Convert to fraction form
    1,322.90/1,984.74 = 445.48/x
  3. Step 3: Cross multiply
    1,322.90x = 1,984.74 × 445.48
  4. Step 4: Simplify right side
    1,322.90x = 884,161.98
  5. Step 5: Solve for x
    x = 884,161.98/1,322.90
  6. Step 6: Final answer
    x = 668.35

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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.