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Finding the Fourth Proportional to 771.85, 1,157.83 and 224.00

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Solution

The fourth proportional to 771.85, 1,157.83 and 224.00 is: 336.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.85 : 1,157.83 = 224.00 : x
  2. Step 2: Convert to fraction form
    771.85/1,157.83 = 224.00/x
  3. Step 3: Cross multiply
    771.85x = 1,157.83 × 224.00
  4. Step 4: Simplify right side
    771.85x = 259,347.57
  5. Step 5: Solve for x
    x = 259,347.57/771.85
  6. Step 6: Final answer
    x = 336.01

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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.