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Finding the Fourth Proportional to 513.90, 708.87 and 339.30

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Solution

The fourth proportional to 513.90, 708.87 and 339.30 is: 468.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.90 : 708.87 = 339.30 : x
  2. Step 2: Convert to fraction form
    513.90/708.87 = 339.30/x
  3. Step 3: Cross multiply
    513.90x = 708.87 × 339.30
  4. Step 4: Simplify right side
    513.90x = 240,519.59
  5. Step 5: Solve for x
    x = 240,519.59/513.90
  6. Step 6: Final answer
    x = 468.03

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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.