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Finding the Fourth Proportional to 771.05, 1,156.20 and 441.94

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Solution

The fourth proportional to 771.05, 1,156.20 and 441.94 is: 662.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.05 : 1,156.20 = 441.94 : x
  2. Step 2: Convert to fraction form
    771.05/1,156.20 = 441.94/x
  3. Step 3: Cross multiply
    771.05x = 1,156.20 × 441.94
  4. Step 4: Simplify right side
    771.05x = 510,971.03
  5. Step 5: Solve for x
    x = 510,971.03/771.05
  6. Step 6: Final answer
    x = 662.70

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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.