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Finding the Fourth Proportional to 714.85, 986.33 and 493.88

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Solution

The fourth proportional to 714.85, 986.33 and 493.88 is: 681.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.85 : 986.33 = 493.88 : x
  2. Step 2: Convert to fraction form
    714.85/986.33 = 493.88/x
  3. Step 3: Cross multiply
    714.85x = 986.33 × 493.88
  4. Step 4: Simplify right side
    714.85x = 487,124.96
  5. Step 5: Solve for x
    x = 487,124.96/714.85
  6. Step 6: Final answer
    x = 681.44

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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.