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Finding the Fourth Proportional to 1,098.51, 1,645.68 and 550.05

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Solution

The fourth proportional to 1,098.51, 1,645.68 and 550.05 is: 824.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.51 : 1,645.68 = 550.05 : x
  2. Step 2: Convert to fraction form
    1,098.51/1,645.68 = 550.05/x
  3. Step 3: Cross multiply
    1,098.51x = 1,645.68 × 550.05
  4. Step 4: Simplify right side
    1,098.51x = 905,206.28
  5. Step 5: Solve for x
    x = 905,206.28/1,098.51
  6. Step 6: Final answer
    x = 824.03

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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.