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Finding the Fourth Proportional to 842.62, 1,264.49 and 294.80

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Solution

The fourth proportional to 842.62, 1,264.49 and 294.80 is: 442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.62 : 1,264.49 = 294.80 : x
  2. Step 2: Convert to fraction form
    842.62/1,264.49 = 294.80/x
  3. Step 3: Cross multiply
    842.62x = 1,264.49 × 294.80
  4. Step 4: Simplify right side
    842.62x = 372,777.29
  5. Step 5: Solve for x
    x = 372,777.29/842.62
  6. Step 6: Final answer
    x = 442.40

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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.