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Finding the Fourth Proportional to 1,300.08, 1,950.78 and 650.77

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Solution

The fourth proportional to 1,300.08, 1,950.78 and 650.77 is: 976.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.08 : 1,950.78 = 650.77 : x
  2. Step 2: Convert to fraction form
    1,300.08/1,950.78 = 650.77/x
  3. Step 3: Cross multiply
    1,300.08x = 1,950.78 × 650.77
  4. Step 4: Simplify right side
    1,300.08x = 1,269,504.22
  5. Step 5: Solve for x
    x = 1,269,504.22/1,300.08
  6. Step 6: Final answer
    x = 976.48

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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.