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Finding the Fourth Proportional to 839.82, 1,159.05 and 490.50

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Solution

The fourth proportional to 839.82, 1,159.05 and 490.50 is: 676.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.82 : 1,159.05 = 490.50 : x
  2. Step 2: Convert to fraction form
    839.82/1,159.05 = 490.50/x
  3. Step 3: Cross multiply
    839.82x = 1,159.05 × 490.50
  4. Step 4: Simplify right side
    839.82x = 568,514.03
  5. Step 5: Solve for x
    x = 568,514.03/839.82
  6. Step 6: Final answer
    x = 676.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.