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Finding the Fourth Proportional to 771.27, 1,158.99 and 406.23

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Solution

The fourth proportional to 771.27, 1,158.99 and 406.23 is: 610.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.27 : 1,158.99 = 406.23 : x
  2. Step 2: Convert to fraction form
    771.27/1,158.99 = 406.23/x
  3. Step 3: Cross multiply
    771.27x = 1,158.99 × 406.23
  4. Step 4: Simplify right side
    771.27x = 470,816.51
  5. Step 5: Solve for x
    x = 470,816.51/771.27
  6. Step 6: Final answer
    x = 610.44

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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.