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Finding the Fourth Proportional to 472.77, 704.44 and 451.82

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Solution

The fourth proportional to 472.77, 704.44 and 451.82 is: 673.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.77 : 704.44 = 451.82 : x
  2. Step 2: Convert to fraction form
    472.77/704.44 = 451.82/x
  3. Step 3: Cross multiply
    472.77x = 704.44 × 451.82
  4. Step 4: Simplify right side
    472.77x = 318,280.08
  5. Step 5: Solve for x
    x = 318,280.08/472.77
  6. Step 6: Final answer
    x = 673.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.