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Finding the Fourth Proportional to 779.20, 1,074.85 and 464.27

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Solution

The fourth proportional to 779.20, 1,074.85 and 464.27 is: 640.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.20 : 1,074.85 = 464.27 : x
  2. Step 2: Convert to fraction form
    779.20/1,074.85 = 464.27/x
  3. Step 3: Cross multiply
    779.20x = 1,074.85 × 464.27
  4. Step 4: Simplify right side
    779.20x = 499,014.07
  5. Step 5: Solve for x
    x = 499,014.07/779.20
  6. Step 6: Final answer
    x = 640.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.