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Finding the Fourth Proportional to 829.59, 1,143.31 and 805.89

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Solution

The fourth proportional to 829.59, 1,143.31 and 805.89 is: 1,110.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.59 : 1,143.31 = 805.89 : x
  2. Step 2: Convert to fraction form
    829.59/1,143.31 = 805.89/x
  3. Step 3: Cross multiply
    829.59x = 1,143.31 × 805.89
  4. Step 4: Simplify right side
    829.59x = 921,382.10
  5. Step 5: Solve for x
    x = 921,382.10/829.59
  6. Step 6: Final answer
    x = 1,110.65

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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.