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Finding the Fourth Proportional to 1,296, 1,786.82 and 1,059.68

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Solution

The fourth proportional to 1,296, 1,786.82 and 1,059.68 is: 1,461.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296 : 1,786.82 = 1,059.68 : x
  2. Step 2: Convert to fraction form
    1,296/1,786.82 = 1,059.68/x
  3. Step 3: Cross multiply
    1,296x = 1,786.82 × 1,059.68
  4. Step 4: Simplify right side
    1,296x = 1,893,457.42
  5. Step 5: Solve for x
    x = 1,893,457.42/1,296
  6. Step 6: Final answer
    x = 1,461.00

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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.