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Finding the Fourth Proportional to 551.98, 828.36 and 415.28

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Solution

The fourth proportional to 551.98, 828.36 and 415.28 is: 623.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.98 : 828.36 = 415.28 : x
  2. Step 2: Convert to fraction form
    551.98/828.36 = 415.28/x
  3. Step 3: Cross multiply
    551.98x = 828.36 × 415.28
  4. Step 4: Simplify right side
    551.98x = 344,001.34
  5. Step 5: Solve for x
    x = 344,001.34/551.98
  6. Step 6: Final answer
    x = 623.21

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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.