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Finding the Fourth Proportional to 513.50, 708.63 and 280.63

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Solution

The fourth proportional to 513.50, 708.63 and 280.63 is: 387.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.50 : 708.63 = 280.63 : x
  2. Step 2: Convert to fraction form
    513.50/708.63 = 280.63/x
  3. Step 3: Cross multiply
    513.50x = 708.63 × 280.63
  4. Step 4: Simplify right side
    513.50x = 198,859.29
  5. Step 5: Solve for x
    x = 198,859.29/513.50
  6. Step 6: Final answer
    x = 387.26

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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.