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Finding the Fourth Proportional to 1,309.80, 1,964.78 and 793.32

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Solution

The fourth proportional to 1,309.80, 1,964.78 and 793.32 is: 1,190.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.80 : 1,964.78 = 793.32 : x
  2. Step 2: Convert to fraction form
    1,309.80/1,964.78 = 793.32/x
  3. Step 3: Cross multiply
    1,309.80x = 1,964.78 × 793.32
  4. Step 4: Simplify right side
    1,309.80x = 1,558,699.27
  5. Step 5: Solve for x
    x = 1,558,699.27/1,309.80
  6. Step 6: Final answer
    x = 1,190.03

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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.