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Finding the Fourth Proportional to 714.37, 985.74 and 399.66

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Solution

The fourth proportional to 714.37, 985.74 and 399.66 is: 551.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.37 : 985.74 = 399.66 : x
  2. Step 2: Convert to fraction form
    714.37/985.74 = 399.66/x
  3. Step 3: Cross multiply
    714.37x = 985.74 × 399.66
  4. Step 4: Simplify right side
    714.37x = 393,960.85
  5. Step 5: Solve for x
    x = 393,960.85/714.37
  6. Step 6: Final answer
    x = 551.48

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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.