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Finding the Fourth Proportional to 468.11, 704.94 and 440.78

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Solution

The fourth proportional to 468.11, 704.94 and 440.78 is: 663.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.11 : 704.94 = 440.78 : x
  2. Step 2: Convert to fraction form
    468.11/704.94 = 440.78/x
  3. Step 3: Cross multiply
    468.11x = 704.94 × 440.78
  4. Step 4: Simplify right side
    468.11x = 310,718.28
  5. Step 5: Solve for x
    x = 310,718.28/468.11
  6. Step 6: Final answer
    x = 663.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.