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Finding the Fourth Proportional to 454.96, 678.96 and 406.32

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Solution

The fourth proportional to 454.96, 678.96 and 406.32 is: 606.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.96 : 678.96 = 406.32 : x
  2. Step 2: Convert to fraction form
    454.96/678.96 = 406.32/x
  3. Step 3: Cross multiply
    454.96x = 678.96 × 406.32
  4. Step 4: Simplify right side
    454.96x = 275,875.03
  5. Step 5: Solve for x
    x = 275,875.03/454.96
  6. Step 6: Final answer
    x = 606.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.