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Finding the Fourth Proportional to 774.67, 1,069.04 and 420.59

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Solution

The fourth proportional to 774.67, 1,069.04 and 420.59 is: 580.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.67 : 1,069.04 = 420.59 : x
  2. Step 2: Convert to fraction form
    774.67/1,069.04 = 420.59/x
  3. Step 3: Cross multiply
    774.67x = 1,069.04 × 420.59
  4. Step 4: Simplify right side
    774.67x = 449,626.72
  5. Step 5: Solve for x
    x = 449,626.72/774.67
  6. Step 6: Final answer
    x = 580.41

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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.