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Finding the Fourth Proportional to 1,228.02, 1,841.49 and 650.76

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Solution

The fourth proportional to 1,228.02, 1,841.49 and 650.76 is: 975.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.02 : 1,841.49 = 650.76 : x
  2. Step 2: Convert to fraction form
    1,228.02/1,841.49 = 650.76/x
  3. Step 3: Cross multiply
    1,228.02x = 1,841.49 × 650.76
  4. Step 4: Simplify right side
    1,228.02x = 1,198,368.03
  5. Step 5: Solve for x
    x = 1,198,368.03/1,228.02
  6. Step 6: Final answer
    x = 975.85

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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.