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Finding the Fourth Proportional to 1,322.54, 1,984.10 and 445.07

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Solution

The fourth proportional to 1,322.54, 1,984.10 and 445.07 is: 667.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.54 : 1,984.10 = 445.07 : x
  2. Step 2: Convert to fraction form
    1,322.54/1,984.10 = 445.07/x
  3. Step 3: Cross multiply
    1,322.54x = 1,984.10 × 445.07
  4. Step 4: Simplify right side
    1,322.54x = 883,066.12
  5. Step 5: Solve for x
    x = 883,066.12/1,322.54
  6. Step 6: Final answer
    x = 667.71

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1.5x scale

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.