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Finding the Fourth Proportional to 664.49, 914.33 and 559.19

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Solution

The fourth proportional to 664.49, 914.33 and 559.19 is: 769.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.49 : 914.33 = 559.19 : x
  2. Step 2: Convert to fraction form
    664.49/914.33 = 559.19/x
  3. Step 3: Cross multiply
    664.49x = 914.33 × 559.19
  4. Step 4: Simplify right side
    664.49x = 511,276.83
  5. Step 5: Solve for x
    x = 511,276.83/664.49
  6. Step 6: Final answer
    x = 769.43

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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.