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Finding the Fourth Proportional to 982.71, 1,471.98 and 634.82

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Solution

The fourth proportional to 982.71, 1,471.98 and 634.82 is: 950.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.71 : 1,471.98 = 634.82 : x
  2. Step 2: Convert to fraction form
    982.71/1,471.98 = 634.82/x
  3. Step 3: Cross multiply
    982.71x = 1,471.98 × 634.82
  4. Step 4: Simplify right side
    982.71x = 934,434.98
  5. Step 5: Solve for x
    x = 934,434.98/982.71
  6. Step 6: Final answer
    x = 950.88

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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.