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Finding the Fourth Proportional to 842.07, 1,263.11 and 294.25

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Solution

The fourth proportional to 842.07, 1,263.11 and 294.25 is: 441.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.07 : 1,263.11 = 294.25 : x
  2. Step 2: Convert to fraction form
    842.07/1,263.11 = 294.25/x
  3. Step 3: Cross multiply
    842.07x = 1,263.11 × 294.25
  4. Step 4: Simplify right side
    842.07x = 371,671.33
  5. Step 5: Solve for x
    x = 371,671.33/842.07
  6. Step 6: Final answer
    x = 441.38

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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.