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Finding the Fourth Proportional to 774.86, 1,069.32 and 443.31

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Solution

The fourth proportional to 774.86, 1,069.32 and 443.31 is: 611.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.86 : 1,069.32 = 443.31 : x
  2. Step 2: Convert to fraction form
    774.86/1,069.32 = 443.31/x
  3. Step 3: Cross multiply
    774.86x = 1,069.32 × 443.31
  4. Step 4: Simplify right side
    774.86x = 474,041.42
  5. Step 5: Solve for x
    x = 474,041.42/774.86
  6. Step 6: Final answer
    x = 611.78

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