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Finding the Fourth Proportional to 472.64, 651.85 and 362.37

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Solution

The fourth proportional to 472.64, 651.85 and 362.37 is: 499.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.64 : 651.85 = 362.37 : x
  2. Step 2: Convert to fraction form
    472.64/651.85 = 362.37/x
  3. Step 3: Cross multiply
    472.64x = 651.85 × 362.37
  4. Step 4: Simplify right side
    472.64x = 236,212.42
  5. Step 5: Solve for x
    x = 236,212.42/472.64
  6. Step 6: Final answer
    x = 499.78

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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.