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Finding the Fourth Proportional to 771.38, 1,157.08 and 223.56

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Solution

The fourth proportional to 771.38, 1,157.08 and 223.56 is: 335.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.38 : 1,157.08 = 223.56 : x
  2. Step 2: Convert to fraction form
    771.38/1,157.08 = 223.56/x
  3. Step 3: Cross multiply
    771.38x = 1,157.08 × 223.56
  4. Step 4: Simplify right side
    771.38x = 258,678.58
  5. Step 5: Solve for x
    x = 258,678.58/771.38
  6. Step 6: Final answer
    x = 335.35

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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.