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Finding the Fourth Proportional to 978.26, 1,467.61 and 422.98

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Solution

The fourth proportional to 978.26, 1,467.61 and 422.98 is: 634.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.26 : 1,467.61 = 422.98 : x
  2. Step 2: Convert to fraction form
    978.26/1,467.61 = 422.98/x
  3. Step 3: Cross multiply
    978.26x = 1,467.61 × 422.98
  4. Step 4: Simplify right side
    978.26x = 620,762.34
  5. Step 5: Solve for x
    x = 620,762.34/978.26
  6. Step 6: Final answer
    x = 634.56

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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.