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Finding the Fourth Proportional to 681.25, 1,022.33 and 437.95

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Solution

The fourth proportional to 681.25, 1,022.33 and 437.95 is: 657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.25 : 1,022.33 = 437.95 : x
  2. Step 2: Convert to fraction form
    681.25/1,022.33 = 437.95/x
  3. Step 3: Cross multiply
    681.25x = 1,022.33 × 437.95
  4. Step 4: Simplify right side
    681.25x = 447,729.42
  5. Step 5: Solve for x
    x = 447,729.42/681.25
  6. Step 6: Final answer
    x = 657.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.