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Finding the Fourth Proportional to 1,563.92, 2,344.26 and 698.30

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Solution

The fourth proportional to 1,563.92, 2,344.26 and 698.30 is: 1,046.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.92 : 2,344.26 = 698.30 : x
  2. Step 2: Convert to fraction form
    1,563.92/2,344.26 = 698.30/x
  3. Step 3: Cross multiply
    1,563.92x = 2,344.26 × 698.30
  4. Step 4: Simplify right side
    1,563.92x = 1,636,996.76
  5. Step 5: Solve for x
    x = 1,636,996.76/1,563.92
  6. Step 6: Final answer
    x = 1,046.73

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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.