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Finding the Fourth Proportional to 982.65, 1,481.05 and 847.33

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Solution

The fourth proportional to 982.65, 1,481.05 and 847.33 is: 1,277.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.65 : 1,481.05 = 847.33 : x
  2. Step 2: Convert to fraction form
    982.65/1,481.05 = 847.33/x
  3. Step 3: Cross multiply
    982.65x = 1,481.05 × 847.33
  4. Step 4: Simplify right side
    982.65x = 1,254,933.86
  5. Step 5: Solve for x
    x = 1,254,933.86/982.65
  6. Step 6: Final answer
    x = 1,277.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.