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Finding the Fourth Proportional to 1,791.30, 2,686.98 and 492.78

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Solution

The fourth proportional to 1,791.30, 2,686.98 and 492.78 is: 739.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.30 : 2,686.98 = 492.78 : x
  2. Step 2: Convert to fraction form
    1,791.30/2,686.98 = 492.78/x
  3. Step 3: Cross multiply
    1,791.30x = 2,686.98 × 492.78
  4. Step 4: Simplify right side
    1,791.30x = 1,324,090.00
  5. Step 5: Solve for x
    x = 1,324,090.00/1,791.30
  6. Step 6: Final answer
    x = 739.18

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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.