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Finding the Fourth Proportional to 668.16, 920.16 and 493.92

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Solution

The fourth proportional to 668.16, 920.16 and 493.92 is: 680.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.16 : 920.16 = 493.92 : x
  2. Step 2: Convert to fraction form
    668.16/920.16 = 493.92/x
  3. Step 3: Cross multiply
    668.16x = 920.16 × 493.92
  4. Step 4: Simplify right side
    668.16x = 454,485.43
  5. Step 5: Solve for x
    x = 454,485.43/668.16
  6. Step 6: Final answer
    x = 680.20

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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.