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Finding the Fourth Proportional to 454.92, 623.69 and 442.68

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Solution

The fourth proportional to 454.92, 623.69 and 442.68 is: 606.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.92 : 623.69 = 442.68 : x
  2. Step 2: Convert to fraction form
    454.92/623.69 = 442.68/x
  3. Step 3: Cross multiply
    454.92x = 623.69 × 442.68
  4. Step 4: Simplify right side
    454.92x = 276,092.88
  5. Step 5: Solve for x
    x = 276,092.88/454.92
  6. Step 6: Final answer
    x = 606.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.