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Finding the Fourth Proportional to 1,191.84, 1,784.87 and 605.30

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Solution

The fourth proportional to 1,191.84, 1,784.87 and 605.30 is: 906.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.84 : 1,784.87 = 605.30 : x
  2. Step 2: Convert to fraction form
    1,191.84/1,784.87 = 605.30/x
  3. Step 3: Cross multiply
    1,191.84x = 1,784.87 × 605.30
  4. Step 4: Simplify right side
    1,191.84x = 1,080,379.70
  5. Step 5: Solve for x
    x = 1,080,379.70/1,191.84
  6. Step 6: Final answer
    x = 906.48

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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.