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Finding the Fourth Proportional to 458.19, 684.44 and 441.99

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Solution

The fourth proportional to 458.19, 684.44 and 441.99 is: 660.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.19 : 684.44 = 441.99 : x
  2. Step 2: Convert to fraction form
    458.19/684.44 = 441.99/x
  3. Step 3: Cross multiply
    458.19x = 684.44 × 441.99
  4. Step 4: Simplify right side
    458.19x = 302,513.43
  5. Step 5: Solve for x
    x = 302,513.43/458.19
  6. Step 6: Final answer
    x = 660.24

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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.