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Finding the Fourth Proportional to 1,089.51, 1,631.68 and 829.19

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Solution

The fourth proportional to 1,089.51, 1,631.68 and 829.19 is: 1,241.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.51 : 1,631.68 = 829.19 : x
  2. Step 2: Convert to fraction form
    1,089.51/1,631.68 = 829.19/x
  3. Step 3: Cross multiply
    1,089.51x = 1,631.68 × 829.19
  4. Step 4: Simplify right side
    1,089.51x = 1,352,974.75
  5. Step 5: Solve for x
    x = 1,352,974.75/1,089.51
  6. Step 6: Final answer
    x = 1,241.82

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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.