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Finding the Fourth Proportional to 984.39, 1,357.43 and 885.23

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Solution

The fourth proportional to 984.39, 1,357.43 and 885.23 is: 1,220.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.39 : 1,357.43 = 885.23 : x
  2. Step 2: Convert to fraction form
    984.39/1,357.43 = 885.23/x
  3. Step 3: Cross multiply
    984.39x = 1,357.43 × 885.23
  4. Step 4: Simplify right side
    984.39x = 1,201,631.64
  5. Step 5: Solve for x
    x = 1,201,631.64/984.39
  6. Step 6: Final answer
    x = 1,220.69

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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.