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Finding the Fourth Proportional to 512.90, 708.33 and 395.30

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Solution

The fourth proportional to 512.90, 708.33 and 395.30 is: 545.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.90 : 708.33 = 395.30 : x
  2. Step 2: Convert to fraction form
    512.90/708.33 = 395.30/x
  3. Step 3: Cross multiply
    512.90x = 708.33 × 395.30
  4. Step 4: Simplify right side
    512.90x = 280,002.85
  5. Step 5: Solve for x
    x = 280,002.85/512.90
  6. Step 6: Final answer
    x = 545.92

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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.