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Finding the Fourth Proportional to 771.45, 1,156.80 and 360.78

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Solution

The fourth proportional to 771.45, 1,156.80 and 360.78 is: 540.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.45 : 1,156.80 = 360.78 : x
  2. Step 2: Convert to fraction form
    771.45/1,156.80 = 360.78/x
  3. Step 3: Cross multiply
    771.45x = 1,156.80 × 360.78
  4. Step 4: Simplify right side
    771.45x = 417,350.30
  5. Step 5: Solve for x
    x = 417,350.30/771.45
  6. Step 6: Final answer
    x = 540.99

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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.