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Finding the Fourth Proportional to 551.46, 826.56 and 419.42

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Solution

The fourth proportional to 551.46, 826.56 and 419.42 is: 628.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.46 : 826.56 = 419.42 : x
  2. Step 2: Convert to fraction form
    551.46/826.56 = 419.42/x
  3. Step 3: Cross multiply
    551.46x = 826.56 × 419.42
  4. Step 4: Simplify right side
    551.46x = 346,675.80
  5. Step 5: Solve for x
    x = 346,675.80/551.46
  6. Step 6: Final answer
    x = 628.65

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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.