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Finding the Fourth Proportional to 1,039.83, 1,554.26 and 793.79

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Solution

The fourth proportional to 1,039.83, 1,554.26 and 793.79 is: 1,186.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.83 : 1,554.26 = 793.79 : x
  2. Step 2: Convert to fraction form
    1,039.83/1,554.26 = 793.79/x
  3. Step 3: Cross multiply
    1,039.83x = 1,554.26 × 793.79
  4. Step 4: Simplify right side
    1,039.83x = 1,233,756.05
  5. Step 5: Solve for x
    x = 1,233,756.05/1,039.83
  6. Step 6: Final answer
    x = 1,186.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.