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Finding the Fourth Proportional to 1,189.59, 1,784.55 and 409.79

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Solution

The fourth proportional to 1,189.59, 1,784.55 and 409.79 is: 614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.59 : 1,784.55 = 409.79 : x
  2. Step 2: Convert to fraction form
    1,189.59/1,784.55 = 409.79/x
  3. Step 3: Cross multiply
    1,189.59x = 1,784.55 × 409.79
  4. Step 4: Simplify right side
    1,189.59x = 731,281.82
  5. Step 5: Solve for x
    x = 731,281.82/1,189.59
  6. Step 6: Final answer
    x = 614.73

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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.