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Finding the Fourth Proportional to 780.73, 1,172.31 and 634.67

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Solution

The fourth proportional to 780.73, 1,172.31 and 634.67 is: 952.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.73 : 1,172.31 = 634.67 : x
  2. Step 2: Convert to fraction form
    780.73/1,172.31 = 634.67/x
  3. Step 3: Cross multiply
    780.73x = 1,172.31 × 634.67
  4. Step 4: Simplify right side
    780.73x = 744,029.99
  5. Step 5: Solve for x
    x = 744,029.99/780.73
  6. Step 6: Final answer
    x = 952.99

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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.