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Finding the Fourth Proportional to 776.25, 1,164.41 and 320.25

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Solution

The fourth proportional to 776.25, 1,164.41 and 320.25 is: 480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.25 : 1,164.41 = 320.25 : x
  2. Step 2: Convert to fraction form
    776.25/1,164.41 = 320.25/x
  3. Step 3: Cross multiply
    776.25x = 1,164.41 × 320.25
  4. Step 4: Simplify right side
    776.25x = 372,900.70
  5. Step 5: Solve for x
    x = 372,900.70/776.25
  6. Step 6: Final answer
    x = 480.39

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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.