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Finding the Fourth Proportional to 472.94, 707.74 and 408.75

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Solution

The fourth proportional to 472.94, 707.74 and 408.75 is: 611.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.94 : 707.74 = 408.75 : x
  2. Step 2: Convert to fraction form
    472.94/707.74 = 408.75/x
  3. Step 3: Cross multiply
    472.94x = 707.74 × 408.75
  4. Step 4: Simplify right side
    472.94x = 289,285.05
  5. Step 5: Solve for x
    x = 289,285.05/472.94
  6. Step 6: Final answer
    x = 611.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.