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Finding the Fourth Proportional to 440.05, 605.73 and 384.34

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Solution

The fourth proportional to 440.05, 605.73 and 384.34 is: 529.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.05 : 605.73 = 384.34 : x
  2. Step 2: Convert to fraction form
    440.05/605.73 = 384.34/x
  3. Step 3: Cross multiply
    440.05x = 605.73 × 384.34
  4. Step 4: Simplify right side
    440.05x = 232,806.27
  5. Step 5: Solve for x
    x = 232,806.27/440.05
  6. Step 6: Final answer
    x = 529.05

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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.