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Finding the Fourth Proportional to 1,196.91, 1,651.73 and 731.16

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Solution

The fourth proportional to 1,196.91, 1,651.73 and 731.16 is: 1,008.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.91 : 1,651.73 = 731.16 : x
  2. Step 2: Convert to fraction form
    1,196.91/1,651.73 = 731.16/x
  3. Step 3: Cross multiply
    1,196.91x = 1,651.73 × 731.16
  4. Step 4: Simplify right side
    1,196.91x = 1,207,675.25
  5. Step 5: Solve for x
    x = 1,207,675.25/1,196.91
  6. Step 6: Final answer
    x = 1,008.99

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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.