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Finding the Fourth Proportional to 513.81, 709.07 and 280.94

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Solution

The fourth proportional to 513.81, 709.07 and 280.94 is: 387.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.81 : 709.07 = 280.94 : x
  2. Step 2: Convert to fraction form
    513.81/709.07 = 280.94/x
  3. Step 3: Cross multiply
    513.81x = 709.07 × 280.94
  4. Step 4: Simplify right side
    513.81x = 199,206.13
  5. Step 5: Solve for x
    x = 199,206.13/513.81
  6. Step 6: Final answer
    x = 387.70

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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.