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Finding the Fourth Proportional to 776.63, 1,071.78 and 481.99

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Solution

The fourth proportional to 776.63, 1,071.78 and 481.99 is: 665.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.63 : 1,071.78 = 481.99 : x
  2. Step 2: Convert to fraction form
    776.63/1,071.78 = 481.99/x
  3. Step 3: Cross multiply
    776.63x = 1,071.78 × 481.99
  4. Step 4: Simplify right side
    776.63x = 516,587.24
  5. Step 5: Solve for x
    x = 516,587.24/776.63
  6. Step 6: Final answer
    x = 665.17

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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.