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Finding the Fourth Proportional to 1,131.05, 1,693.38 and 719.17

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Solution

The fourth proportional to 1,131.05, 1,693.38 and 719.17 is: 1,076.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.05 : 1,693.38 = 719.17 : x
  2. Step 2: Convert to fraction form
    1,131.05/1,693.38 = 719.17/x
  3. Step 3: Cross multiply
    1,131.05x = 1,693.38 × 719.17
  4. Step 4: Simplify right side
    1,131.05x = 1,217,828.09
  5. Step 5: Solve for x
    x = 1,217,828.09/1,131.05
  6. Step 6: Final answer
    x = 1,076.72

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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.