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Finding the Fourth Proportional to 708.41, 1,055.36 and 682.29

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Solution

The fourth proportional to 708.41, 1,055.36 and 682.29 is: 1,016.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.41 : 1,055.36 = 682.29 : x
  2. Step 2: Convert to fraction form
    708.41/1,055.36 = 682.29/x
  3. Step 3: Cross multiply
    708.41x = 1,055.36 × 682.29
  4. Step 4: Simplify right side
    708.41x = 720,063.28
  5. Step 5: Solve for x
    x = 720,063.28/708.41
  6. Step 6: Final answer
    x = 1,016.45

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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.