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Finding the Fourth Proportional to 776.63, 1,164.46 and 314.03

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Solution

The fourth proportional to 776.63, 1,164.46 and 314.03 is: 470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.63 : 1,164.46 = 314.03 : x
  2. Step 2: Convert to fraction form
    776.63/1,164.46 = 314.03/x
  3. Step 3: Cross multiply
    776.63x = 1,164.46 × 314.03
  4. Step 4: Simplify right side
    776.63x = 365,675.37
  5. Step 5: Solve for x
    x = 365,675.37/776.63
  6. Step 6: Final answer
    x = 470.85

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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.