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Finding the Fourth Proportional to 771.30, 1,155.78 and 359.95

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Solution

The fourth proportional to 771.30, 1,155.78 and 359.95 is: 539.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.30 : 1,155.78 = 359.95 : x
  2. Step 2: Convert to fraction form
    771.30/1,155.78 = 359.95/x
  3. Step 3: Cross multiply
    771.30x = 1,155.78 × 359.95
  4. Step 4: Simplify right side
    771.30x = 416,023.01
  5. Step 5: Solve for x
    x = 416,023.01/771.30
  6. Step 6: Final answer
    x = 539.38

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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.