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Finding the Fourth Proportional to 472.78, 651.88 and 333.36

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Solution

The fourth proportional to 472.78, 651.88 and 333.36 is: 459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.78 : 651.88 = 333.36 : x
  2. Step 2: Convert to fraction form
    472.78/651.88 = 333.36/x
  3. Step 3: Cross multiply
    472.78x = 651.88 × 333.36
  4. Step 4: Simplify right side
    472.78x = 217,311.13
  5. Step 5: Solve for x
    x = 217,311.13/472.78
  6. Step 6: Final answer
    x = 459.64

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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.