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Finding the Fourth Proportional to 1,309.91, 1,963.37 and 650.96

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Solution

The fourth proportional to 1,309.91, 1,963.37 and 650.96 is: 975.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.91 : 1,963.37 = 650.96 : x
  2. Step 2: Convert to fraction form
    1,309.91/1,963.37 = 650.96/x
  3. Step 3: Cross multiply
    1,309.91x = 1,963.37 × 650.96
  4. Step 4: Simplify right side
    1,309.91x = 1,278,074.51
  5. Step 5: Solve for x
    x = 1,278,074.51/1,309.91
  6. Step 6: Final answer
    x = 975.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.