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Finding the Fourth Proportional to 714.20, 986.00 and 493.47

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Solution

The fourth proportional to 714.20, 986.00 and 493.47 is: 681.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.20 : 986.00 = 493.47 : x
  2. Step 2: Convert to fraction form
    714.20/986.00 = 493.47/x
  3. Step 3: Cross multiply
    714.20x = 986.00 × 493.47
  4. Step 4: Simplify right side
    714.20x = 486,558.95
  5. Step 5: Solve for x
    x = 486,558.95/714.20
  6. Step 6: Final answer
    x = 681.27

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Double scale
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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.