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Finding the Fourth Proportional to 603.44, 905.76 and 440.63

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Solution

The fourth proportional to 603.44, 905.76 and 440.63 is: 661.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.44 : 905.76 = 440.63 : x
  2. Step 2: Convert to fraction form
    603.44/905.76 = 440.63/x
  3. Step 3: Cross multiply
    603.44x = 905.76 × 440.63
  4. Step 4: Simplify right side
    603.44x = 399,100.50
  5. Step 5: Solve for x
    x = 399,100.50/603.44
  6. Step 6: Final answer
    x = 661.38

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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.