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Finding the Fourth Proportional to 1,191.54, 1,786 and 574.81

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Solution

The fourth proportional to 1,191.54, 1,786 and 574.81 is: 861.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.54 : 1,786 = 574.81 : x
  2. Step 2: Convert to fraction form
    1,191.54/1,786 = 574.81/x
  3. Step 3: Cross multiply
    1,191.54x = 1,786 × 574.81
  4. Step 4: Simplify right side
    1,191.54x = 1,026,610.66
  5. Step 5: Solve for x
    x = 1,026,610.66/1,191.54
  6. Step 6: Final answer
    x = 861.58

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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.