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Finding the Fourth Proportional to 771.86, 1,157.51 and 251.73

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Solution

The fourth proportional to 771.86, 1,157.51 and 251.73 is: 377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.86 : 1,157.51 = 251.73 : x
  2. Step 2: Convert to fraction form
    771.86/1,157.51 = 251.73/x
  3. Step 3: Cross multiply
    771.86x = 1,157.51 × 251.73
  4. Step 4: Simplify right side
    771.86x = 291,380.62
  5. Step 5: Solve for x
    x = 291,380.62/771.86
  6. Step 6: Final answer
    x = 377.50

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Double scale
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1.5x scale

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.