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Finding the Fourth Proportional to 842.54, 1,265.49 and 733.19

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Solution

The fourth proportional to 842.54, 1,265.49 and 733.19 is: 1,101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.54 : 1,265.49 = 733.19 : x
  2. Step 2: Convert to fraction form
    842.54/1,265.49 = 733.19/x
  3. Step 3: Cross multiply
    842.54x = 1,265.49 × 733.19
  4. Step 4: Simplify right side
    842.54x = 927,838.29
  5. Step 5: Solve for x
    x = 927,838.29/842.54
  6. Step 6: Final answer
    x = 1,101.25

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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.