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Finding the Fourth Proportional to 776.26, 1,070.92 and 496.42

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Solution

The fourth proportional to 776.26, 1,070.92 and 496.42 is: 684.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.26 : 1,070.92 = 496.42 : x
  2. Step 2: Convert to fraction form
    776.26/1,070.92 = 496.42/x
  3. Step 3: Cross multiply
    776.26x = 1,070.92 × 496.42
  4. Step 4: Simplify right side
    776.26x = 531,618.27
  5. Step 5: Solve for x
    x = 531,618.27/776.26
  6. Step 6: Final answer
    x = 684.85

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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.