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Finding the Fourth Proportional to 984.24, 1,357.97 and 611.09

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Solution

The fourth proportional to 984.24, 1,357.97 and 611.09 is: 843.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.24 : 1,357.97 = 611.09 : x
  2. Step 2: Convert to fraction form
    984.24/1,357.97 = 611.09/x
  3. Step 3: Cross multiply
    984.24x = 1,357.97 × 611.09
  4. Step 4: Simplify right side
    984.24x = 829,832.04
  5. Step 5: Solve for x
    x = 829,832.04/984.24
  6. Step 6: Final answer
    x = 843.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.