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Finding the Fourth Proportional to 800.08, 1,104.10 and 485.26

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Solution

The fourth proportional to 800.08, 1,104.10 and 485.26 is: 669.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.08 : 1,104.10 = 485.26 : x
  2. Step 2: Convert to fraction form
    800.08/1,104.10 = 485.26/x
  3. Step 3: Cross multiply
    800.08x = 1,104.10 × 485.26
  4. Step 4: Simplify right side
    800.08x = 535,771.59
  5. Step 5: Solve for x
    x = 535,771.59/800.08
  6. Step 6: Final answer
    x = 669.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.