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Finding the Fourth Proportional to 1,161.29, 1,604.68 and 829.15

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Solution

The fourth proportional to 1,161.29, 1,604.68 and 829.15 is: 1,145.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.29 : 1,604.68 = 829.15 : x
  2. Step 2: Convert to fraction form
    1,161.29/1,604.68 = 829.15/x
  3. Step 3: Cross multiply
    1,161.29x = 1,604.68 × 829.15
  4. Step 4: Simplify right side
    1,161.29x = 1,330,514.34
  5. Step 5: Solve for x
    x = 1,330,514.34/1,161.29
  6. Step 6: Final answer
    x = 1,145.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.