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Finding the Fourth Proportional to 993.54, 1,370.61 and 682.50

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Solution

The fourth proportional to 993.54, 1,370.61 and 682.50 is: 941.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.54 : 1,370.61 = 682.50 : x
  2. Step 2: Convert to fraction form
    993.54/1,370.61 = 682.50/x
  3. Step 3: Cross multiply
    993.54x = 1,370.61 × 682.50
  4. Step 4: Simplify right side
    993.54x = 935,441.33
  5. Step 5: Solve for x
    x = 935,441.33/993.54
  6. Step 6: Final answer
    x = 941.52

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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.