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Finding the Fourth Proportional to 776.36, 1,071.64 and 481.80

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Solution

The fourth proportional to 776.36, 1,071.64 and 481.80 is: 665.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.36 : 1,071.64 = 481.80 : x
  2. Step 2: Convert to fraction form
    776.36/1,071.64 = 481.80/x
  3. Step 3: Cross multiply
    776.36x = 1,071.64 × 481.80
  4. Step 4: Simplify right side
    776.36x = 516,316.15
  5. Step 5: Solve for x
    x = 516,316.15/776.36
  6. Step 6: Final answer
    x = 665.05

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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.