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Finding the Fourth Proportional to 472.42, 706.96 and 417.34

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Solution

The fourth proportional to 472.42, 706.96 and 417.34 is: 624.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.42 : 706.96 = 417.34 : x
  2. Step 2: Convert to fraction form
    472.42/706.96 = 417.34/x
  3. Step 3: Cross multiply
    472.42x = 706.96 × 417.34
  4. Step 4: Simplify right side
    472.42x = 295,042.69
  5. Step 5: Solve for x
    x = 295,042.69/472.42
  6. Step 6: Final answer
    x = 624.53

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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.