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Finding the Fourth Proportional to 1,201.42, 1,802.61 and 552.46

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Solution

The fourth proportional to 1,201.42, 1,802.61 and 552.46 is: 828.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.42 : 1,802.61 = 552.46 : x
  2. Step 2: Convert to fraction form
    1,201.42/1,802.61 = 552.46/x
  3. Step 3: Cross multiply
    1,201.42x = 1,802.61 × 552.46
  4. Step 4: Simplify right side
    1,201.42x = 995,869.92
  5. Step 5: Solve for x
    x = 995,869.92/1,201.42
  6. Step 6: Final answer
    x = 828.91

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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.