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Finding the Fourth Proportional to 716.90, 988.85 and 492.73

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Solution

The fourth proportional to 716.90, 988.85 and 492.73 is: 679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.90 : 988.85 = 492.73 : x
  2. Step 2: Convert to fraction form
    716.90/988.85 = 492.73/x
  3. Step 3: Cross multiply
    716.90x = 988.85 × 492.73
  4. Step 4: Simplify right side
    716.90x = 487,234.82
  5. Step 5: Solve for x
    x = 487,234.82/716.90
  6. Step 6: Final answer
    x = 679.65

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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.