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Finding the Fourth Proportional to 1,805.14, 2,706.90 and 634.90

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Solution

The fourth proportional to 1,805.14, 2,706.90 and 634.90 is: 952.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.14 : 2,706.90 = 634.90 : x
  2. Step 2: Convert to fraction form
    1,805.14/2,706.90 = 634.90/x
  3. Step 3: Cross multiply
    1,805.14x = 2,706.90 × 634.90
  4. Step 4: Simplify right side
    1,805.14x = 1,718,610.81
  5. Step 5: Solve for x
    x = 1,718,610.81/1,805.14
  6. Step 6: Final answer
    x = 952.07

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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.