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Finding the Fourth Proportional to 666.16, 920.03 and 455.97

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Solution

The fourth proportional to 666.16, 920.03 and 455.97 is: 629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.16 : 920.03 = 455.97 : x
  2. Step 2: Convert to fraction form
    666.16/920.03 = 455.97/x
  3. Step 3: Cross multiply
    666.16x = 920.03 × 455.97
  4. Step 4: Simplify right side
    666.16x = 419,506.08
  5. Step 5: Solve for x
    x = 419,506.08/666.16
  6. Step 6: Final answer
    x = 629.74

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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.