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Finding the Fourth Proportional to 1,121.06, 1,681.72 and 428.25

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Solution

The fourth proportional to 1,121.06, 1,681.72 and 428.25 is: 642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.06 : 1,681.72 = 428.25 : x
  2. Step 2: Convert to fraction form
    1,121.06/1,681.72 = 428.25/x
  3. Step 3: Cross multiply
    1,121.06x = 1,681.72 × 428.25
  4. Step 4: Simplify right side
    1,121.06x = 720,196.59
  5. Step 5: Solve for x
    x = 720,196.59/1,121.06
  6. Step 6: Final answer
    x = 642.42

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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.