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Finding the Fourth Proportional to 978.71, 1,467.36 and 491.42

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Solution

The fourth proportional to 978.71, 1,467.36 and 491.42 is: 736.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.71 : 1,467.36 = 491.42 : x
  2. Step 2: Convert to fraction form
    978.71/1,467.36 = 491.42/x
  3. Step 3: Cross multiply
    978.71x = 1,467.36 × 491.42
  4. Step 4: Simplify right side
    978.71x = 721,093.72
  5. Step 5: Solve for x
    x = 721,093.72/978.71
  6. Step 6: Final answer
    x = 736.78

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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.