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Finding the Fourth Proportional to 776.96, 1,070.86 and 629.54

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Solution

The fourth proportional to 776.96, 1,070.86 and 629.54 is: 867.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.96 : 1,070.86 = 629.54 : x
  2. Step 2: Convert to fraction form
    776.96/1,070.86 = 629.54/x
  3. Step 3: Cross multiply
    776.96x = 1,070.86 × 629.54
  4. Step 4: Simplify right side
    776.96x = 674,149.20
  5. Step 5: Solve for x
    x = 674,149.20/776.96
  6. Step 6: Final answer
    x = 867.68

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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.