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Finding the Fourth Proportional to 771.44, 1,157.18 and 360.47

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Solution

The fourth proportional to 771.44, 1,157.18 and 360.47 is: 540.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.44 : 1,157.18 = 360.47 : x
  2. Step 2: Convert to fraction form
    771.44/1,157.18 = 360.47/x
  3. Step 3: Cross multiply
    771.44x = 1,157.18 × 360.47
  4. Step 4: Simplify right side
    771.44x = 417,128.67
  5. Step 5: Solve for x
    x = 417,128.67/771.44
  6. Step 6: Final answer
    x = 540.71

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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.