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Finding the Fourth Proportional to 771.26, 1,157.34 and 309.26

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Solution

The fourth proportional to 771.26, 1,157.34 and 309.26 is: 464.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.26 : 1,157.34 = 309.26 : x
  2. Step 2: Convert to fraction form
    771.26/1,157.34 = 309.26/x
  3. Step 3: Cross multiply
    771.26x = 1,157.34 × 309.26
  4. Step 4: Simplify right side
    771.26x = 357,918.97
  5. Step 5: Solve for x
    x = 357,918.97/771.26
  6. Step 6: Final answer
    x = 464.07

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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.