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Finding the Fourth Proportional to 771.08, 1,156.74 and 223.27

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Solution

The fourth proportional to 771.08, 1,156.74 and 223.27 is: 334.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.08 : 1,156.74 = 223.27 : x
  2. Step 2: Convert to fraction form
    771.08/1,156.74 = 223.27/x
  3. Step 3: Cross multiply
    771.08x = 1,156.74 × 223.27
  4. Step 4: Simplify right side
    771.08x = 258,264.22
  5. Step 5: Solve for x
    x = 258,264.22/771.08
  6. Step 6: Final answer
    x = 334.94

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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.