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Finding the Fourth Proportional to 968.92, 1,456.26 and 456.28

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Solution

The fourth proportional to 968.92, 1,456.26 and 456.28 is: 685.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.92 : 1,456.26 = 456.28 : x
  2. Step 2: Convert to fraction form
    968.92/1,456.26 = 456.28/x
  3. Step 3: Cross multiply
    968.92x = 1,456.26 × 456.28
  4. Step 4: Simplify right side
    968.92x = 664,462.31
  5. Step 5: Solve for x
    x = 664,462.31/968.92
  6. Step 6: Final answer
    x = 685.78

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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.