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Finding the Fourth Proportional to 1,192.98, 1,789.98 and 463.06

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Solution

The fourth proportional to 1,192.98, 1,789.98 and 463.06 is: 694.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.98 : 1,789.98 = 463.06 : x
  2. Step 2: Convert to fraction form
    1,192.98/1,789.98 = 463.06/x
  3. Step 3: Cross multiply
    1,192.98x = 1,789.98 × 463.06
  4. Step 4: Simplify right side
    1,192.98x = 828,868.14
  5. Step 5: Solve for x
    x = 828,868.14/1,192.98
  6. Step 6: Final answer
    x = 694.79

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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.