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Finding the Fourth Proportional to 978.20, 1,467.41 and 328.95

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Solution

The fourth proportional to 978.20, 1,467.41 and 328.95 is: 493.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.20 : 1,467.41 = 328.95 : x
  2. Step 2: Convert to fraction form
    978.20/1,467.41 = 328.95/x
  3. Step 3: Cross multiply
    978.20x = 1,467.41 × 328.95
  4. Step 4: Simplify right side
    978.20x = 482,708.38
  5. Step 5: Solve for x
    x = 482,708.38/978.20
  6. Step 6: Final answer
    x = 493.46

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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.