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Finding the Fourth Proportional to 776.36, 1,165.32 and 411.08

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Solution

The fourth proportional to 776.36, 1,165.32 and 411.08 is: 617.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.36 : 1,165.32 = 411.08 : x
  2. Step 2: Convert to fraction form
    776.36/1,165.32 = 411.08/x
  3. Step 3: Cross multiply
    776.36x = 1,165.32 × 411.08
  4. Step 4: Simplify right side
    776.36x = 479,039.75
  5. Step 5: Solve for x
    x = 479,039.75/776.36
  6. Step 6: Final answer
    x = 617.03

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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.