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Finding the Fourth Proportional to 771.87, 1,157.57 and 258.75

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Solution

The fourth proportional to 771.87, 1,157.57 and 258.75 is: 388.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.87 : 1,157.57 = 258.75 : x
  2. Step 2: Convert to fraction form
    771.87/1,157.57 = 258.75/x
  3. Step 3: Cross multiply
    771.87x = 1,157.57 × 258.75
  4. Step 4: Simplify right side
    771.87x = 299,519.94
  5. Step 5: Solve for x
    x = 299,519.94/771.87
  6. Step 6: Final answer
    x = 388.04

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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.