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Finding the Fourth Proportional to 669.92, 1,003.50 and 409.10

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Solution

The fourth proportional to 669.92, 1,003.50 and 409.10 is: 612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.92 : 1,003.50 = 409.10 : x
  2. Step 2: Convert to fraction form
    669.92/1,003.50 = 409.10/x
  3. Step 3: Cross multiply
    669.92x = 1,003.50 × 409.10
  4. Step 4: Simplify right side
    669.92x = 410,526.83
  5. Step 5: Solve for x
    x = 410,526.83/669.92
  6. Step 6: Final answer
    x = 612.80

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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.