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Finding the Fourth Proportional to 516.99, 774.20 and 362.19

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Solution

The fourth proportional to 516.99, 774.20 and 362.19 is: 542.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.99 : 774.20 = 362.19 : x
  2. Step 2: Convert to fraction form
    516.99/774.20 = 362.19/x
  3. Step 3: Cross multiply
    516.99x = 774.20 × 362.19
  4. Step 4: Simplify right side
    516.99x = 280,405.69
  5. Step 5: Solve for x
    x = 280,405.69/516.99
  6. Step 6: Final answer
    x = 542.38

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Half scale
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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.