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Finding the Fourth Proportional to 778.82, 1,075.68 and 516.38

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Solution

The fourth proportional to 778.82, 1,075.68 and 516.38 is: 713.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.82 : 1,075.68 = 516.38 : x
  2. Step 2: Convert to fraction form
    778.82/1,075.68 = 516.38/x
  3. Step 3: Cross multiply
    778.82x = 1,075.68 × 516.38
  4. Step 4: Simplify right side
    778.82x = 555,459.64
  5. Step 5: Solve for x
    x = 555,459.64/778.82
  6. Step 6: Final answer
    x = 713.21

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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.