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Finding the Fourth Proportional to 1,803.75, 2,705.91 and 634.08

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Solution

The fourth proportional to 1,803.75, 2,705.91 and 634.08 is: 951.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.75 : 2,705.91 = 634.08 : x
  2. Step 2: Convert to fraction form
    1,803.75/2,705.91 = 634.08/x
  3. Step 3: Cross multiply
    1,803.75x = 2,705.91 × 634.08
  4. Step 4: Simplify right side
    1,803.75x = 1,715,763.41
  5. Step 5: Solve for x
    x = 1,715,763.41/1,803.75
  6. Step 6: Final answer
    x = 951.22

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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.