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Finding the Fourth Proportional to 982.95, 1,357.35 and 936.27

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Solution

The fourth proportional to 982.95, 1,357.35 and 936.27 is: 1,292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.95 : 1,357.35 = 936.27 : x
  2. Step 2: Convert to fraction form
    982.95/1,357.35 = 936.27/x
  3. Step 3: Cross multiply
    982.95x = 1,357.35 × 936.27
  4. Step 4: Simplify right side
    982.95x = 1,270,846.08
  5. Step 5: Solve for x
    x = 1,270,846.08/982.95
  6. Step 6: Final answer
    x = 1,292.89

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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.