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Finding the Fourth Proportional to 437.45, 603.99 and 319.64

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Solution

The fourth proportional to 437.45, 603.99 and 319.64 is: 441.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.45 : 603.99 = 319.64 : x
  2. Step 2: Convert to fraction form
    437.45/603.99 = 319.64/x
  3. Step 3: Cross multiply
    437.45x = 603.99 × 319.64
  4. Step 4: Simplify right side
    437.45x = 193,056.34
  5. Step 5: Solve for x
    x = 193,056.34/437.45
  6. Step 6: Final answer
    x = 441.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.