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Finding the Fourth Proportional to 982.02, 1,353.21 and 824.38

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Solution

The fourth proportional to 982.02, 1,353.21 and 824.38 is: 1,135.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.02 : 1,353.21 = 824.38 : x
  2. Step 2: Convert to fraction form
    982.02/1,353.21 = 824.38/x
  3. Step 3: Cross multiply
    982.02x = 1,353.21 × 824.38
  4. Step 4: Simplify right side
    982.02x = 1,115,552.79
  5. Step 5: Solve for x
    x = 1,115,552.79/982.02
  6. Step 6: Final answer
    x = 1,135.97

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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.