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Finding the Fourth Proportional to 518.20, 714.62 and 399.99

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Solution

The fourth proportional to 518.20, 714.62 and 399.99 is: 551.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.20 : 714.62 = 399.99 : x
  2. Step 2: Convert to fraction form
    518.20/714.62 = 399.99/x
  3. Step 3: Cross multiply
    518.20x = 714.62 × 399.99
  4. Step 4: Simplify right side
    518.20x = 285,840.51
  5. Step 5: Solve for x
    x = 285,840.51/518.20
  6. Step 6: Final answer
    x = 551.61

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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.