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Finding the Fourth Proportional to 1,060.82, 1,591.49 and 573.20

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Solution

The fourth proportional to 1,060.82, 1,591.49 and 573.20 is: 859.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.82 : 1,591.49 = 573.20 : x
  2. Step 2: Convert to fraction form
    1,060.82/1,591.49 = 573.20/x
  3. Step 3: Cross multiply
    1,060.82x = 1,591.49 × 573.20
  4. Step 4: Simplify right side
    1,060.82x = 912,235.54
  5. Step 5: Solve for x
    x = 912,235.54/1,060.82
  6. Step 6: Final answer
    x = 859.94

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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.