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Finding the Fourth Proportional to 1,207.92, 1,811.94 and 549.54

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Solution

The fourth proportional to 1,207.92, 1,811.94 and 549.54 is: 824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.92 : 1,811.94 = 549.54 : x
  2. Step 2: Convert to fraction form
    1,207.92/1,811.94 = 549.54/x
  3. Step 3: Cross multiply
    1,207.92x = 1,811.94 × 549.54
  4. Step 4: Simplify right side
    1,207.92x = 995,733.51
  5. Step 5: Solve for x
    x = 995,733.51/1,207.92
  6. Step 6: Final answer
    x = 824.34

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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.