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Finding the Fourth Proportional to 774.72, 1,069.12 and 494.88

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Solution

The fourth proportional to 774.72, 1,069.12 and 494.88 is: 682.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.72 : 1,069.12 = 494.88 : x
  2. Step 2: Convert to fraction form
    774.72/1,069.12 = 494.88/x
  3. Step 3: Cross multiply
    774.72x = 1,069.12 × 494.88
  4. Step 4: Simplify right side
    774.72x = 529,086.11
  5. Step 5: Solve for x
    x = 529,086.11/774.72
  6. Step 6: Final answer
    x = 682.94

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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.