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Finding the Fourth Proportional to 714.43, 985.93 and 399.72

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Solution

The fourth proportional to 714.43, 985.93 and 399.72 is: 551.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.43 : 985.93 = 399.72 : x
  2. Step 2: Convert to fraction form
    714.43/985.93 = 399.72/x
  3. Step 3: Cross multiply
    714.43x = 985.93 × 399.72
  4. Step 4: Simplify right side
    714.43x = 394,095.94
  5. Step 5: Solve for x
    x = 394,095.94/714.43
  6. Step 6: Final answer
    x = 551.62

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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.