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Finding the Fourth Proportional to 669.13, 1,004.12 and 284.38

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Solution

The fourth proportional to 669.13, 1,004.12 and 284.38 is: 426.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.13 : 1,004.12 = 284.38 : x
  2. Step 2: Convert to fraction form
    669.13/1,004.12 = 284.38/x
  3. Step 3: Cross multiply
    669.13x = 1,004.12 × 284.38
  4. Step 4: Simplify right side
    669.13x = 285,545.20
  5. Step 5: Solve for x
    x = 285,545.20/669.13
  6. Step 6: Final answer
    x = 426.74

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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.