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Finding the Fourth Proportional to 771.93, 1,157.44 and 381.07

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Solution

The fourth proportional to 771.93, 1,157.44 and 381.07 is: 571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.93 : 1,157.44 = 381.07 : x
  2. Step 2: Convert to fraction form
    771.93/1,157.44 = 381.07/x
  3. Step 3: Cross multiply
    771.93x = 1,157.44 × 381.07
  4. Step 4: Simplify right side
    771.93x = 441,065.66
  5. Step 5: Solve for x
    x = 441,065.66/771.93
  6. Step 6: Final answer
    x = 571.38

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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.