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Finding the Fourth Proportional to 771.14, 1,156.14 and 441.74

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Solution

The fourth proportional to 771.14, 1,156.14 and 441.74 is: 662.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.14 : 1,156.14 = 441.74 : x
  2. Step 2: Convert to fraction form
    771.14/1,156.14 = 441.74/x
  3. Step 3: Cross multiply
    771.14x = 1,156.14 × 441.74
  4. Step 4: Simplify right side
    771.14x = 510,713.28
  5. Step 5: Solve for x
    x = 510,713.28/771.14
  6. Step 6: Final answer
    x = 662.28

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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.