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Finding the Fourth Proportional to 982.84, 1,471.41 and 765.76

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Solution

The fourth proportional to 982.84, 1,471.41 and 765.76 is: 1,146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.84 : 1,471.41 = 765.76 : x
  2. Step 2: Convert to fraction form
    982.84/1,471.41 = 765.76/x
  3. Step 3: Cross multiply
    982.84x = 1,471.41 × 765.76
  4. Step 4: Simplify right side
    982.84x = 1,126,746.92
  5. Step 5: Solve for x
    x = 1,126,746.92/982.84
  6. Step 6: Final answer
    x = 1,146.42

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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.