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Finding the Fourth Proportional to 1,193.01, 1,789.62 and 412.90

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Solution

The fourth proportional to 1,193.01, 1,789.62 and 412.90 is: 619.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.01 : 1,789.62 = 412.90 : x
  2. Step 2: Convert to fraction form
    1,193.01/1,789.62 = 412.90/x
  3. Step 3: Cross multiply
    1,193.01x = 1,789.62 × 412.90
  4. Step 4: Simplify right side
    1,193.01x = 738,934.10
  5. Step 5: Solve for x
    x = 738,934.10/1,193.01
  6. Step 6: Final answer
    x = 619.39

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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.