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Finding the Fourth Proportional to 842.68, 1,263.97 and 294.85

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Solution

The fourth proportional to 842.68, 1,263.97 and 294.85 is: 442.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.68 : 1,263.97 = 294.85 : x
  2. Step 2: Convert to fraction form
    842.68/1,263.97 = 294.85/x
  3. Step 3: Cross multiply
    842.68x = 1,263.97 × 294.85
  4. Step 4: Simplify right side
    842.68x = 372,681.55
  5. Step 5: Solve for x
    x = 372,681.55/842.68
  6. Step 6: Final answer
    x = 442.26

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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.