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Finding the Fourth Proportional to 1,774.61, 2,661.39 and 678.38

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Solution

The fourth proportional to 1,774.61, 2,661.39 and 678.38 is: 1,017.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.61 : 2,661.39 = 678.38 : x
  2. Step 2: Convert to fraction form
    1,774.61/2,661.39 = 678.38/x
  3. Step 3: Cross multiply
    1,774.61x = 2,661.39 × 678.38
  4. Step 4: Simplify right side
    1,774.61x = 1,805,420.44
  5. Step 5: Solve for x
    x = 1,805,420.44/1,774.61
  6. Step 6: Final answer
    x = 1,017.36

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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.