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Finding the Fourth Proportional to 472.46, 704.46 and 448.94

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Solution

The fourth proportional to 472.46, 704.46 and 448.94 is: 669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.46 : 704.46 = 448.94 : x
  2. Step 2: Convert to fraction form
    472.46/704.46 = 448.94/x
  3. Step 3: Cross multiply
    472.46x = 704.46 × 448.94
  4. Step 4: Simplify right side
    472.46x = 316,260.27
  5. Step 5: Solve for x
    x = 316,260.27/472.46
  6. Step 6: Final answer
    x = 669.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.