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Finding the Fourth Proportional to 669.31, 1,005.12 and 410.83

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Solution

The fourth proportional to 669.31, 1,005.12 and 410.83 is: 616.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.31 : 1,005.12 = 410.83 : x
  2. Step 2: Convert to fraction form
    669.31/1,005.12 = 410.83/x
  3. Step 3: Cross multiply
    669.31x = 1,005.12 × 410.83
  4. Step 4: Simplify right side
    669.31x = 412,936.03
  5. Step 5: Solve for x
    x = 412,936.03/669.31
  6. Step 6: Final answer
    x = 616.95

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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.