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Finding the Fourth Proportional to 712.11, 1,059.86 and 705.27

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Solution

The fourth proportional to 712.11, 1,059.86 and 705.27 is: 1,049.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.11 : 1,059.86 = 705.27 : x
  2. Step 2: Convert to fraction form
    712.11/1,059.86 = 705.27/x
  3. Step 3: Cross multiply
    712.11x = 1,059.86 × 705.27
  4. Step 4: Simplify right side
    712.11x = 747,489.23
  5. Step 5: Solve for x
    x = 747,489.23/712.11
  6. Step 6: Final answer
    x = 1,049.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.