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Finding the Fourth Proportional to 982.65, 1,472.27 and 820.11

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Solution

The fourth proportional to 982.65, 1,472.27 and 820.11 is: 1,228.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.65 : 1,472.27 = 820.11 : x
  2. Step 2: Convert to fraction form
    982.65/1,472.27 = 820.11/x
  3. Step 3: Cross multiply
    982.65x = 1,472.27 × 820.11
  4. Step 4: Simplify right side
    982.65x = 1,207,419.25
  5. Step 5: Solve for x
    x = 1,207,419.25/982.65
  6. Step 6: Final answer
    x = 1,228.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.