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Finding the Fourth Proportional to 776.63, 1,165.29 and 411.33

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Solution

The fourth proportional to 776.63, 1,165.29 and 411.33 is: 617.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.63 : 1,165.29 = 411.33 : x
  2. Step 2: Convert to fraction form
    776.63/1,165.29 = 411.33/x
  3. Step 3: Cross multiply
    776.63x = 1,165.29 × 411.33
  4. Step 4: Simplify right side
    776.63x = 479,315.01
  5. Step 5: Solve for x
    x = 479,315.01/776.63
  6. Step 6: Final answer
    x = 617.18

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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.