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Finding the Fourth Proportional to 419.77, 628.84 and 351.73

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Solution

The fourth proportional to 419.77, 628.84 and 351.73 is: 526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.77 : 628.84 = 351.73 : x
  2. Step 2: Convert to fraction form
    419.77/628.84 = 351.73/x
  3. Step 3: Cross multiply
    419.77x = 628.84 × 351.73
  4. Step 4: Simplify right side
    419.77x = 221,181.89
  5. Step 5: Solve for x
    x = 221,181.89/419.77
  6. Step 6: Final answer
    x = 526.91

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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.