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Finding the Fourth Proportional to 978.22, 1,467.53 and 329.14

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Solution

The fourth proportional to 978.22, 1,467.53 and 329.14 is: 493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.22 : 1,467.53 = 329.14 : x
  2. Step 2: Convert to fraction form
    978.22/1,467.53 = 329.14/x
  3. Step 3: Cross multiply
    978.22x = 1,467.53 × 329.14
  4. Step 4: Simplify right side
    978.22x = 483,021.18
  5. Step 5: Solve for x
    x = 483,021.18/978.22
  6. Step 6: Final answer
    x = 493.78

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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.