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Finding the Fourth Proportional to 2,237.89, 3,357.30 and 677.98

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Solution

The fourth proportional to 2,237.89, 3,357.30 and 677.98 is: 1,017.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.89 : 3,357.30 = 677.98 : x
  2. Step 2: Convert to fraction form
    2,237.89/3,357.30 = 677.98/x
  3. Step 3: Cross multiply
    2,237.89x = 3,357.30 × 677.98
  4. Step 4: Simplify right side
    2,237.89x = 2,276,182.25
  5. Step 5: Solve for x
    x = 2,276,182.25/2,237.89
  6. Step 6: Final answer
    x = 1,017.11

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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.