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Finding the Fourth Proportional to 774.38, 1,069.01 and 442.75

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Solution

The fourth proportional to 774.38, 1,069.01 and 442.75 is: 611.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.38 : 1,069.01 = 442.75 : x
  2. Step 2: Convert to fraction form
    774.38/1,069.01 = 442.75/x
  3. Step 3: Cross multiply
    774.38x = 1,069.01 × 442.75
  4. Step 4: Simplify right side
    774.38x = 473,305.45
  5. Step 5: Solve for x
    x = 473,305.45/774.38
  6. Step 6: Final answer
    x = 611.21

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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.