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Finding the Fourth Proportional to 668.64, 1,007.96 and 624.04

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Solution

The fourth proportional to 668.64, 1,007.96 and 624.04 is: 940.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.64 : 1,007.96 = 624.04 : x
  2. Step 2: Convert to fraction form
    668.64/1,007.96 = 624.04/x
  3. Step 3: Cross multiply
    668.64x = 1,007.96 × 624.04
  4. Step 4: Simplify right side
    668.64x = 629,007.36
  5. Step 5: Solve for x
    x = 629,007.36/668.64
  6. Step 6: Final answer
    x = 940.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.