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Finding the Fourth Proportional to 698.73, 1,043.48 and 596.19

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Solution

The fourth proportional to 698.73, 1,043.48 and 596.19 is: 890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.73 : 1,043.48 = 596.19 : x
  2. Step 2: Convert to fraction form
    698.73/1,043.48 = 596.19/x
  3. Step 3: Cross multiply
    698.73x = 1,043.48 × 596.19
  4. Step 4: Simplify right side
    698.73x = 622,109.36
  5. Step 5: Solve for x
    x = 622,109.36/698.73
  6. Step 6: Final answer
    x = 890.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.