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Finding the Fourth Proportional to 1,098.99, 1,648.78 and 809.94

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Solution

The fourth proportional to 1,098.99, 1,648.78 and 809.94 is: 1,215.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.99 : 1,648.78 = 809.94 : x
  2. Step 2: Convert to fraction form
    1,098.99/1,648.78 = 809.94/x
  3. Step 3: Cross multiply
    1,098.99x = 1,648.78 × 809.94
  4. Step 4: Simplify right side
    1,098.99x = 1,335,406.62
  5. Step 5: Solve for x
    x = 1,335,406.62/1,098.99
  6. Step 6: Final answer
    x = 1,215.12

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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.