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Finding the Fourth Proportional to 776.96, 1,165.09 and 411.66

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Solution

The fourth proportional to 776.96, 1,165.09 and 411.66 is: 617.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.96 : 1,165.09 = 411.66 : x
  2. Step 2: Convert to fraction form
    776.96/1,165.09 = 411.66/x
  3. Step 3: Cross multiply
    776.96x = 1,165.09 × 411.66
  4. Step 4: Simplify right side
    776.96x = 479,615.55
  5. Step 5: Solve for x
    x = 479,615.55/776.96
  6. Step 6: Final answer
    x = 617.30

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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.