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Finding the Fourth Proportional to 1,013.33, 1,399.25 and 682.85

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Solution

The fourth proportional to 1,013.33, 1,399.25 and 682.85 is: 942.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.33 : 1,399.25 = 682.85 : x
  2. Step 2: Convert to fraction form
    1,013.33/1,399.25 = 682.85/x
  3. Step 3: Cross multiply
    1,013.33x = 1,399.25 × 682.85
  4. Step 4: Simplify right side
    1,013.33x = 955,483.07
  5. Step 5: Solve for x
    x = 955,483.07/1,013.33
  6. Step 6: Final answer
    x = 942.91

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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.