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Finding the Fourth Proportional to 440.07, 604.13 and 377.80

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Solution

The fourth proportional to 440.07, 604.13 and 377.80 is: 518.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.07 : 604.13 = 377.80 : x
  2. Step 2: Convert to fraction form
    440.07/604.13 = 377.80/x
  3. Step 3: Cross multiply
    440.07x = 604.13 × 377.80
  4. Step 4: Simplify right side
    440.07x = 228,236.91
  5. Step 5: Solve for x
    x = 228,236.91/440.07
  6. Step 6: Final answer
    x = 518.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.