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Finding the Fourth Proportional to 442.56, 664.98 and 384.92

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Solution

The fourth proportional to 442.56, 664.98 and 384.92 is: 578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.56 : 664.98 = 384.92 : x
  2. Step 2: Convert to fraction form
    442.56/664.98 = 384.92/x
  3. Step 3: Cross multiply
    442.56x = 664.98 × 384.92
  4. Step 4: Simplify right side
    442.56x = 255,961.83
  5. Step 5: Solve for x
    x = 255,961.83/442.56
  6. Step 6: Final answer
    x = 578.36

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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.