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Finding the Fourth Proportional to 458.96, 684.03 and 445.64

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Solution

The fourth proportional to 458.96, 684.03 and 445.64 is: 664.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.96 : 684.03 = 445.64 : x
  2. Step 2: Convert to fraction form
    458.96/684.03 = 445.64/x
  3. Step 3: Cross multiply
    458.96x = 684.03 × 445.64
  4. Step 4: Simplify right side
    458.96x = 304,828.90
  5. Step 5: Solve for x
    x = 304,828.90/458.96
  6. Step 6: Final answer
    x = 664.17

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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.