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Finding the Fourth Proportional to 442.59, 659.44 and 417.75

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Solution

The fourth proportional to 442.59, 659.44 and 417.75 is: 622.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.59 : 659.44 = 417.75 : x
  2. Step 2: Convert to fraction form
    442.59/659.44 = 417.75/x
  3. Step 3: Cross multiply
    442.59x = 659.44 × 417.75
  4. Step 4: Simplify right side
    442.59x = 275,480.02
  5. Step 5: Solve for x
    x = 275,480.02/442.59
  6. Step 6: Final answer
    x = 622.43

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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.