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Finding the Fourth Proportional to 1,191.78, 1,788.34 and 461.40

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Solution

The fourth proportional to 1,191.78, 1,788.34 and 461.40 is: 692.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.78 : 1,788.34 = 461.40 : x
  2. Step 2: Convert to fraction form
    1,191.78/1,788.34 = 461.40/x
  3. Step 3: Cross multiply
    1,191.78x = 1,788.34 × 461.40
  4. Step 4: Simplify right side
    1,191.78x = 825,140.08
  5. Step 5: Solve for x
    x = 825,140.08/1,191.78
  6. Step 6: Final answer
    x = 692.36

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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.