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Finding the Fourth Proportional to 668.64, 1,004.46 and 409.32

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Solution

The fourth proportional to 668.64, 1,004.46 and 409.32 is: 614.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.64 : 1,004.46 = 409.32 : x
  2. Step 2: Convert to fraction form
    668.64/1,004.46 = 409.32/x
  3. Step 3: Cross multiply
    668.64x = 1,004.46 × 409.32
  4. Step 4: Simplify right side
    668.64x = 411,145.57
  5. Step 5: Solve for x
    x = 411,145.57/668.64
  6. Step 6: Final answer
    x = 614.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.