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Finding the Fourth Proportional to 714.86, 986.99 and 449.41

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Solution

The fourth proportional to 714.86, 986.99 and 449.41 is: 620.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.86 : 986.99 = 449.41 : x
  2. Step 2: Convert to fraction form
    714.86/986.99 = 449.41/x
  3. Step 3: Cross multiply
    714.86x = 986.99 × 449.41
  4. Step 4: Simplify right side
    714.86x = 443,563.18
  5. Step 5: Solve for x
    x = 443,563.18/714.86
  6. Step 6: Final answer
    x = 620.49

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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.