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Finding the Fourth Proportional to 472.87, 704.69 and 458.78

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Solution

The fourth proportional to 472.87, 704.69 and 458.78 is: 683.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.87 : 704.69 = 458.78 : x
  2. Step 2: Convert to fraction form
    472.87/704.69 = 458.78/x
  3. Step 3: Cross multiply
    472.87x = 704.69 × 458.78
  4. Step 4: Simplify right side
    472.87x = 323,297.15
  5. Step 5: Solve for x
    x = 323,297.15/472.87
  6. Step 6: Final answer
    x = 683.70

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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.