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Finding the Fourth Proportional to 978.79, 1,467.39 and 669.88

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Solution

The fourth proportional to 978.79, 1,467.39 and 669.88 is: 1,004.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.79 : 1,467.39 = 669.88 : x
  2. Step 2: Convert to fraction form
    978.79/1,467.39 = 669.88/x
  3. Step 3: Cross multiply
    978.79x = 1,467.39 × 669.88
  4. Step 4: Simplify right side
    978.79x = 982,975.21
  5. Step 5: Solve for x
    x = 982,975.21/978.79
  6. Step 6: Final answer
    x = 1,004.28

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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.