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Finding the Fourth Proportional to 1,340.46, 1,849.50 and 816.12

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Solution

The fourth proportional to 1,340.46, 1,849.50 and 816.12 is: 1,126.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.46 : 1,849.50 = 816.12 : x
  2. Step 2: Convert to fraction form
    1,340.46/1,849.50 = 816.12/x
  3. Step 3: Cross multiply
    1,340.46x = 1,849.50 × 816.12
  4. Step 4: Simplify right side
    1,340.46x = 1,509,413.94
  5. Step 5: Solve for x
    x = 1,509,413.94/1,340.46
  6. Step 6: Final answer
    x = 1,126.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.