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Finding the Fourth Proportional to 771.41, 1,157.45 and 406.11

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Solution

The fourth proportional to 771.41, 1,157.45 and 406.11 is: 609.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.41 : 1,157.45 = 406.11 : x
  2. Step 2: Convert to fraction form
    771.41/1,157.45 = 406.11/x
  3. Step 3: Cross multiply
    771.41x = 1,157.45 × 406.11
  4. Step 4: Simplify right side
    771.41x = 470,052.02
  5. Step 5: Solve for x
    x = 470,052.02/771.41
  6. Step 6: Final answer
    x = 609.34

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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.