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Finding the Fourth Proportional to 771.12, 1,155.66 and 359.84

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Solution

The fourth proportional to 771.12, 1,155.66 and 359.84 is: 539.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.12 : 1,155.66 = 359.84 : x
  2. Step 2: Convert to fraction form
    771.12/1,155.66 = 359.84/x
  3. Step 3: Cross multiply
    771.12x = 1,155.66 × 359.84
  4. Step 4: Simplify right side
    771.12x = 415,852.69
  5. Step 5: Solve for x
    x = 415,852.69/771.12
  6. Step 6: Final answer
    x = 539.28

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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.