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Finding the Fourth Proportional to 714.97, 986.37 and 449.25

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Solution

The fourth proportional to 714.97, 986.37 and 449.25 is: 619.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.97 : 986.37 = 449.25 : x
  2. Step 2: Convert to fraction form
    714.97/986.37 = 449.25/x
  3. Step 3: Cross multiply
    714.97x = 986.37 × 449.25
  4. Step 4: Simplify right side
    714.97x = 443,126.72
  5. Step 5: Solve for x
    x = 443,126.72/714.97
  6. Step 6: Final answer
    x = 619.78

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1.5x scale

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.