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Finding the Fourth Proportional to 1,071.59, 1,608.84 and 552.02

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Solution

The fourth proportional to 1,071.59, 1,608.84 and 552.02 is: 828.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.59 : 1,608.84 = 552.02 : x
  2. Step 2: Convert to fraction form
    1,071.59/1,608.84 = 552.02/x
  3. Step 3: Cross multiply
    1,071.59x = 1,608.84 × 552.02
  4. Step 4: Simplify right side
    1,071.59x = 888,103.81
  5. Step 5: Solve for x
    x = 888,103.81/1,071.59
  6. Step 6: Final answer
    x = 828.78

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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.