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Finding the Fourth Proportional to 1,179.31, 1,768.59 and 409.63

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Solution

The fourth proportional to 1,179.31, 1,768.59 and 409.63 is: 614.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.31 : 1,768.59 = 409.63 : x
  2. Step 2: Convert to fraction form
    1,179.31/1,768.59 = 409.63/x
  3. Step 3: Cross multiply
    1,179.31x = 1,768.59 × 409.63
  4. Step 4: Simplify right side
    1,179.31x = 724,467.52
  5. Step 5: Solve for x
    x = 724,467.52/1,179.31
  6. Step 6: Final answer
    x = 614.31

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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.