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Finding the Fourth Proportional to 842.76, 1,264.26 and 294.78

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Solution

The fourth proportional to 842.76, 1,264.26 and 294.78 is: 442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.76 : 1,264.26 = 294.78 : x
  2. Step 2: Convert to fraction form
    842.76/1,264.26 = 294.78/x
  3. Step 3: Cross multiply
    842.76x = 1,264.26 × 294.78
  4. Step 4: Simplify right side
    842.76x = 372,678.56
  5. Step 5: Solve for x
    x = 372,678.56/842.76
  6. Step 6: Final answer
    x = 442.21

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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.