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Finding the Fourth Proportional to 1,486.39, 2,229.89 and 446.35

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Solution

The fourth proportional to 1,486.39, 2,229.89 and 446.35 is: 669.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.39 : 2,229.89 = 446.35 : x
  2. Step 2: Convert to fraction form
    1,486.39/2,229.89 = 446.35/x
  3. Step 3: Cross multiply
    1,486.39x = 2,229.89 × 446.35
  4. Step 4: Simplify right side
    1,486.39x = 995,298.02
  5. Step 5: Solve for x
    x = 995,298.02/1,486.39
  6. Step 6: Final answer
    x = 669.61

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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.