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Finding the Fourth Proportional to 714.18, 986.31 and 493.98

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Solution

The fourth proportional to 714.18, 986.31 and 493.98 is: 682.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.18 : 986.31 = 493.98 : x
  2. Step 2: Convert to fraction form
    714.18/986.31 = 493.98/x
  3. Step 3: Cross multiply
    714.18x = 986.31 × 493.98
  4. Step 4: Simplify right side
    714.18x = 487,217.41
  5. Step 5: Solve for x
    x = 487,217.41/714.18
  6. Step 6: Final answer
    x = 682.21

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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.