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Finding the Fourth Proportional to 771.64, 1,157.23 and 406.23

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Solution

The fourth proportional to 771.64, 1,157.23 and 406.23 is: 609.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.64 : 1,157.23 = 406.23 : x
  2. Step 2: Convert to fraction form
    771.64/1,157.23 = 406.23/x
  3. Step 3: Cross multiply
    771.64x = 1,157.23 × 406.23
  4. Step 4: Simplify right side
    771.64x = 470,101.54
  5. Step 5: Solve for x
    x = 470,101.54/771.64
  6. Step 6: Final answer
    x = 609.22

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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.