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Finding the Fourth Proportional to 515.86, 711 and 349.96

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Solution

The fourth proportional to 515.86, 711 and 349.96 is: 482.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.86 : 711 = 349.96 : x
  2. Step 2: Convert to fraction form
    515.86/711 = 349.96/x
  3. Step 3: Cross multiply
    515.86x = 711 × 349.96
  4. Step 4: Simplify right side
    515.86x = 248,821.56
  5. Step 5: Solve for x
    x = 248,821.56/515.86
  6. Step 6: Final answer
    x = 482.34

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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.