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Finding the Fourth Proportional to 513.09, 766.25 and 439.19

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Solution

The fourth proportional to 513.09, 766.25 and 439.19 is: 655.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.09 : 766.25 = 439.19 : x
  2. Step 2: Convert to fraction form
    513.09/766.25 = 439.19/x
  3. Step 3: Cross multiply
    513.09x = 766.25 × 439.19
  4. Step 4: Simplify right side
    513.09x = 336,523.31
  5. Step 5: Solve for x
    x = 336,523.31/513.09
  6. Step 6: Final answer
    x = 655.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.