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Finding the Fourth Proportional to 776.42, 1,165.22 and 411.29

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Solution

The fourth proportional to 776.42, 1,165.22 and 411.29 is: 617.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.42 : 1,165.22 = 411.29 : x
  2. Step 2: Convert to fraction form
    776.42/1,165.22 = 411.29/x
  3. Step 3: Cross multiply
    776.42x = 1,165.22 × 411.29
  4. Step 4: Simplify right side
    776.42x = 479,243.33
  5. Step 5: Solve for x
    x = 479,243.33/776.42
  6. Step 6: Final answer
    x = 617.25

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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.