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Finding the Fourth Proportional to 472.32, 651.48 and 324.72

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Solution

The fourth proportional to 472.32, 651.48 and 324.72 is: 447.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.32 : 651.48 = 324.72 : x
  2. Step 2: Convert to fraction form
    472.32/651.48 = 324.72/x
  3. Step 3: Cross multiply
    472.32x = 651.48 × 324.72
  4. Step 4: Simplify right side
    472.32x = 211,548.59
  5. Step 5: Solve for x
    x = 211,548.59/472.32
  6. Step 6: Final answer
    x = 447.89

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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.