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Finding the Fourth Proportional to 780.84, 1,171.42 and 537.48

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Solution

The fourth proportional to 780.84, 1,171.42 and 537.48 is: 806.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.84 : 1,171.42 = 537.48 : x
  2. Step 2: Convert to fraction form
    780.84/1,171.42 = 537.48/x
  3. Step 3: Cross multiply
    780.84x = 1,171.42 × 537.48
  4. Step 4: Simplify right side
    780.84x = 629,614.82
  5. Step 5: Solve for x
    x = 629,614.82/780.84
  6. Step 6: Final answer
    x = 806.33

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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.