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Finding the Fourth Proportional to 442.83, 664.01 and 288.75

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Solution

The fourth proportional to 442.83, 664.01 and 288.75 is: 432.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.83 : 664.01 = 288.75 : x
  2. Step 2: Convert to fraction form
    442.83/664.01 = 288.75/x
  3. Step 3: Cross multiply
    442.83x = 664.01 × 288.75
  4. Step 4: Simplify right side
    442.83x = 191,731.44
  5. Step 5: Solve for x
    x = 191,731.44/442.83
  6. Step 6: Final answer
    x = 432.97

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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.