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Finding the Fourth Proportional to 472.72, 651.92 and 325.12

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Solution

The fourth proportional to 472.72, 651.92 and 325.12 is: 448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.72 : 651.92 = 325.12 : x
  2. Step 2: Convert to fraction form
    472.72/651.92 = 325.12/x
  3. Step 3: Cross multiply
    472.72x = 651.92 × 325.12
  4. Step 4: Simplify right side
    472.72x = 211,952.23
  5. Step 5: Solve for x
    x = 211,952.23/472.72
  6. Step 6: Final answer
    x = 448.37

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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.