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Finding the Fourth Proportional to 442.30, 664.48 and 417.36

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Solution

The fourth proportional to 442.30, 664.48 and 417.36 is: 627.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.30 : 664.48 = 417.36 : x
  2. Step 2: Convert to fraction form
    442.30/664.48 = 417.36/x
  3. Step 3: Cross multiply
    442.30x = 664.48 × 417.36
  4. Step 4: Simplify right side
    442.30x = 277,327.37
  5. Step 5: Solve for x
    x = 277,327.37/442.30
  6. Step 6: Final answer
    x = 627.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.