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Finding the Fourth Proportional to 839.99, 1,159.25 and 490.79

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Solution

The fourth proportional to 839.99, 1,159.25 and 490.79 is: 677.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.99 : 1,159.25 = 490.79 : x
  2. Step 2: Convert to fraction form
    839.99/1,159.25 = 490.79/x
  3. Step 3: Cross multiply
    839.99x = 1,159.25 × 490.79
  4. Step 4: Simplify right side
    839.99x = 568,943.74
  5. Step 5: Solve for x
    x = 568,943.74/839.99
  6. Step 6: Final answer
    x = 677.33

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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.