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Finding the Fourth Proportional to 925.89, 1,394.31 and 805.61

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Solution

The fourth proportional to 925.89, 1,394.31 and 805.61 is: 1,213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.89 : 1,394.31 = 805.61 : x
  2. Step 2: Convert to fraction form
    925.89/1,394.31 = 805.61/x
  3. Step 3: Cross multiply
    925.89x = 1,394.31 × 805.61
  4. Step 4: Simplify right side
    925.89x = 1,123,260.09
  5. Step 5: Solve for x
    x = 1,123,260.09/925.89
  6. Step 6: Final answer
    x = 1,213.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.