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Finding the Fourth Proportional to 516.04, 774.14 and 259.56

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Solution

The fourth proportional to 516.04, 774.14 and 259.56 is: 389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.04 : 774.14 = 259.56 : x
  2. Step 2: Convert to fraction form
    516.04/774.14 = 259.56/x
  3. Step 3: Cross multiply
    516.04x = 774.14 × 259.56
  4. Step 4: Simplify right side
    516.04x = 200,935.78
  5. Step 5: Solve for x
    x = 200,935.78/516.04
  6. Step 6: Final answer
    x = 389.38

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.