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Finding the Fourth Proportional to 774.08, 1,068.36 and 494.45

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Solution

The fourth proportional to 774.08, 1,068.36 and 494.45 is: 682.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.08 : 1,068.36 = 494.45 : x
  2. Step 2: Convert to fraction form
    774.08/1,068.36 = 494.45/x
  3. Step 3: Cross multiply
    774.08x = 1,068.36 × 494.45
  4. Step 4: Simplify right side
    774.08x = 528,245.26
  5. Step 5: Solve for x
    x = 528,245.26/774.08
  6. Step 6: Final answer
    x = 682.42

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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.