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Finding the Fourth Proportional to 669.21, 1,002.53 and 408.47

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Solution

The fourth proportional to 669.21, 1,002.53 and 408.47 is: 611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.21 : 1,002.53 = 408.47 : x
  2. Step 2: Convert to fraction form
    669.21/1,002.53 = 408.47/x
  3. Step 3: Cross multiply
    669.21x = 1,002.53 × 408.47
  4. Step 4: Simplify right side
    669.21x = 409,496.37
  5. Step 5: Solve for x
    x = 409,496.37/669.21
  6. Step 6: Final answer
    x = 611.91

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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.