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Finding the Fourth Proportional to 454.08, 624.83 and 440.54

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Solution

The fourth proportional to 454.08, 624.83 and 440.54 is: 606.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.08 : 624.83 = 440.54 : x
  2. Step 2: Convert to fraction form
    454.08/624.83 = 440.54/x
  3. Step 3: Cross multiply
    454.08x = 624.83 × 440.54
  4. Step 4: Simplify right side
    454.08x = 275,261.05
  5. Step 5: Solve for x
    x = 275,261.05/454.08
  6. Step 6: Final answer
    x = 606.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.