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Finding the Fourth Proportional to 776.77, 1,165.11 and 289.78

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Solution

The fourth proportional to 776.77, 1,165.11 and 289.78 is: 434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.77 : 1,165.11 = 289.78 : x
  2. Step 2: Convert to fraction form
    776.77/1,165.11 = 289.78/x
  3. Step 3: Cross multiply
    776.77x = 1,165.11 × 289.78
  4. Step 4: Simplify right side
    776.77x = 337,625.58
  5. Step 5: Solve for x
    x = 337,625.58/776.77
  6. Step 6: Final answer
    x = 434.65

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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.