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Finding the Fourth Proportional to 1,200.08, 1,799.43 and 468.82

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Solution

The fourth proportional to 1,200.08, 1,799.43 and 468.82 is: 702.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.08 : 1,799.43 = 468.82 : x
  2. Step 2: Convert to fraction form
    1,200.08/1,799.43 = 468.82/x
  3. Step 3: Cross multiply
    1,200.08x = 1,799.43 × 468.82
  4. Step 4: Simplify right side
    1,200.08x = 843,608.77
  5. Step 5: Solve for x
    x = 843,608.77/1,200.08
  6. Step 6: Final answer
    x = 702.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.