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Finding the Fourth Proportional to 669.25, 1,004.28 and 284.50

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Solution

The fourth proportional to 669.25, 1,004.28 and 284.50 is: 426.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.25 : 1,004.28 = 284.50 : x
  2. Step 2: Convert to fraction form
    669.25/1,004.28 = 284.50/x
  3. Step 3: Cross multiply
    669.25x = 1,004.28 × 284.50
  4. Step 4: Simplify right side
    669.25x = 285,717.66
  5. Step 5: Solve for x
    x = 285,717.66/669.25
  6. Step 6: Final answer
    x = 426.92

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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.