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Finding the Fourth Proportional to 1,189.85, 1,784.51 and 573.17

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Solution

The fourth proportional to 1,189.85, 1,784.51 and 573.17 is: 859.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.85 : 1,784.51 = 573.17 : x
  2. Step 2: Convert to fraction form
    1,189.85/1,784.51 = 573.17/x
  3. Step 3: Cross multiply
    1,189.85x = 1,784.51 × 573.17
  4. Step 4: Simplify right side
    1,189.85x = 1,022,824.73
  5. Step 5: Solve for x
    x = 1,022,824.73/1,189.85
  6. Step 6: Final answer
    x = 859.62

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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.