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Finding the Fourth Proportional to 668.70, 920.97 and 493.74

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Solution

The fourth proportional to 668.70, 920.97 and 493.74 is: 680.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.70 : 920.97 = 493.74 : x
  2. Step 2: Convert to fraction form
    668.70/920.97 = 493.74/x
  3. Step 3: Cross multiply
    668.70x = 920.97 × 493.74
  4. Step 4: Simplify right side
    668.70x = 454,719.73
  5. Step 5: Solve for x
    x = 454,719.73/668.70
  6. Step 6: Final answer
    x = 680.01

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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.