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Finding the Fourth Proportional to 458.92, 684.46 and 442.72

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Solution

The fourth proportional to 458.92, 684.46 and 442.72 is: 660.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.92 : 684.46 = 442.72 : x
  2. Step 2: Convert to fraction form
    458.92/684.46 = 442.72/x
  3. Step 3: Cross multiply
    458.92x = 684.46 × 442.72
  4. Step 4: Simplify right side
    458.92x = 303,021.92
  5. Step 5: Solve for x
    x = 303,021.92/458.92
  6. Step 6: Final answer
    x = 660.29

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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.