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Finding the Fourth Proportional to 472.26, 651.67 and 285.78

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Solution

The fourth proportional to 472.26, 651.67 and 285.78 is: 394.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.26 : 651.67 = 285.78 : x
  2. Step 2: Convert to fraction form
    472.26/651.67 = 285.78/x
  3. Step 3: Cross multiply
    472.26x = 651.67 × 285.78
  4. Step 4: Simplify right side
    472.26x = 186,234.25
  5. Step 5: Solve for x
    x = 186,234.25/472.26
  6. Step 6: Final answer
    x = 394.35

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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.