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Finding the Fourth Proportional to 771.46, 1,157.64 and 284.85

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Solution

The fourth proportional to 771.46, 1,157.64 and 284.85 is: 427.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.46 : 1,157.64 = 284.85 : x
  2. Step 2: Convert to fraction form
    771.46/1,157.64 = 284.85/x
  3. Step 3: Cross multiply
    771.46x = 1,157.64 × 284.85
  4. Step 4: Simplify right side
    771.46x = 329,747.97
  5. Step 5: Solve for x
    x = 329,747.97/771.46
  6. Step 6: Final answer
    x = 427.43

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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.