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Finding the Fourth Proportional to 445.98, 664.50 and 397.48

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Solution

The fourth proportional to 445.98, 664.50 and 397.48 is: 592.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.98 : 664.50 = 397.48 : x
  2. Step 2: Convert to fraction form
    445.98/664.50 = 397.48/x
  3. Step 3: Cross multiply
    445.98x = 664.50 × 397.48
  4. Step 4: Simplify right side
    445.98x = 264,125.46
  5. Step 5: Solve for x
    x = 264,125.46/445.98
  6. Step 6: Final answer
    x = 592.24

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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.