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Finding the Fourth Proportional to 1,905.78, 2,859.12 and 537.78

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Solution

The fourth proportional to 1,905.78, 2,859.12 and 537.78 is: 806.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.78 : 2,859.12 = 537.78 : x
  2. Step 2: Convert to fraction form
    1,905.78/2,859.12 = 537.78/x
  3. Step 3: Cross multiply
    1,905.78x = 2,859.12 × 537.78
  4. Step 4: Simplify right side
    1,905.78x = 1,537,577.55
  5. Step 5: Solve for x
    x = 1,537,577.55/1,905.78
  6. Step 6: Final answer
    x = 806.80

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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.